# Factorisation without expansion?

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Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

Posted from TSR Mobile

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

Posted from TSR Mobile

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#2

(Original post by

Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

Posted from TSR Mobile

**supreme**)Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

Posted from TSR Mobile

The trick here is to spot common factors present in all the terms and pull these outside.

Example:

You can apply a similar trick to your question.

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#3

**supreme**)

Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

Posted from TSR Mobile

Then try putting and see if you can go on from there.

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(Original post by

I doubt you could factorise it if you did expand the brackets.

The trick here is to spot common factors present in all the terms and pull these outside.

Example:

You can apply a similar trick to your question.

**joostan**)I doubt you could factorise it if you did expand the brackets.

The trick here is to spot common factors present in all the terms and pull these outside.

Example:

You can apply a similar trick to your question.

So should I attempt to factorise ?

I'm guessing not! It's the fact, it's not expanded that I struggle with.

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(Original post by

If you take out all common factors you should be left with

Then try putting and see if you can go on from there.

**brianeverit**)If you take out all common factors you should be left with

Then try putting and see if you can go on from there.

But what did you cancel next to lead to ?

Thanks and sorry for the silly question.

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#6

(Original post by

I am assuming you did the following:-

But what did you cancel next to lead to ?

Thanks and sorry for the silly question.

**supreme**)I am assuming you did the following:-

But what did you cancel next to lead to ?

Thanks and sorry for the silly question.

Then the next common factor has to be as it is a multiple of each of the terms.

Which when factored out leaves the result you express in the other brackets.

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(Original post by

Rather than dividing, you factor out, so:

Then the next common factor has to be as it is a multiple of each of the terms.

Which when factored out leaves the result you express in the other brackets.

**joostan**)Rather than dividing, you factor out, so:

Then the next common factor has to be as it is a multiple of each of the terms.

Which when factored out leaves the result you express in the other brackets.

For some reason when I attempt to do that I end up with the incorrect answer:-

Obviously my answer is incorrect as I don't see how this could lead to the correct one of

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#9

(Original post by

So the common factor has to be ?

For some reason when I attempt to do that I end up with the incorrect answer:-

Obviously my answer is incorrect as I don't see how this could lead to the correct one of

**supreme**)So the common factor has to be ?

For some reason when I attempt to do that I end up with the incorrect answer:-

Obviously my answer is incorrect as I don't see how this could lead to the correct one of

The result is the same. . . you have the correct answer multiplied by a common factor which is sitting out the front.

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#10

Hi all, I was wondering if any maths buffs out there can help me? I have to sit a maths equivalency test this week, however some answers to the practice paper don't make sense!!

Two questions on factorising algebra are.

1) Factor 6x+12y.....According to the answer sheet the answer is = 6y(y+2)

2) Factorise 4k+8m+24...Apparently the answer should be = (k10) (k+3)

I just cant understand how these answers could be right. What happened to he 'X' in the first equation. Also what happed to the 'M' in the second. Its really confusing me and I can understand how the examiner came to these answers. Help please!!

Two questions on factorising algebra are.

1) Factor 6x+12y.....According to the answer sheet the answer is = 6y(y+2)

2) Factorise 4k+8m+24...Apparently the answer should be = (k10) (k+3)

I just cant understand how these answers could be right. What happened to he 'X' in the first equation. Also what happed to the 'M' in the second. Its really confusing me and I can understand how the examiner came to these answers. Help please!!

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#11

(Original post by

...

**LincsLady**)...

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#12

Thanks. I'm terrible at maths but I thought surely a reputable examination company cant print the wrong answers on the answer sheet. Obviously they can!

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#13

(Original post by

Hi all, I was wondering if any maths buffs out there can help me? I have to sit a maths equivalency test this week, however some answers to the practice paper don't make sense!!

Two questions on factorising algebra are.

1) Factor 6x+12y.....According to the answer sheet the answer is = 6y(y+2)

2) Factorise 4k+8m+24...Apparently the answer should be = (k10) (k+3)

I just cant understand how these answers could be right. What happened to he 'X' in the first equation. Also what happed to the 'M' in the second. Its really confusing me and I can understand how the examiner came to these answers. Help please!!

**LincsLady**)Hi all, I was wondering if any maths buffs out there can help me? I have to sit a maths equivalency test this week, however some answers to the practice paper don't make sense!!

Two questions on factorising algebra are.

1) Factor 6x+12y.....According to the answer sheet the answer is = 6y(y+2)

2) Factorise 4k+8m+24...Apparently the answer should be = (k10) (k+3)

I just cant understand how these answers could be right. What happened to he 'X' in the first equation. Also what happed to the 'M' in the second. Its really confusing me and I can understand how the examiner came to these answers. Help please!!

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#14

**supreme**)

I am assuming you did the following:-

But what did you cancel next to lead to ?

Thanks and sorry for the silly question.

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#15

(Original post by

Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

**supreme**)Hi,

I need to factorise the following:-

Can I do this without multiplying out the brackets?

Thanks

If the question is

**just**to factorise -

Your factorisation in post 7 is correct - the answer that you give in that post is incorrect

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(Original post by

What is the actual question?

If the question is

Your factorisation in post 7 is correct - the answer that you give in that post is incorrect

**TenOfThem**)What is the actual question?

If the question is

**just**to factorise -Your factorisation in post 7 is correct - the answer that you give in that post is incorrect

So you're saying that ?

(Original post by

I didn't cancel anything. I was merely giving what is left after taking out all the commonb factors. i.e.

**brianeverit**)I didn't cancel anything. I was merely giving what is left after taking out all the commonb factors. i.e.

I attempted to factor out the common factor and I still can't see how you got there.....

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#17

(Original post by

Basically the question is to reduce a fraction but it's the factorisation I was struggling with.

So you're saying that ?

But how do you do this?

I attempted to factor out the common factor and I still can't see how you got there.....

**supreme**)Basically the question is to reduce a fraction but it's the factorisation I was struggling with.

So you're saying that ?

But how do you do this?

I attempted to factor out the common factor and I still can't see how you got there.....

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#18

(Original post by

Basically the question is to reduce a fraction but it's the factorisation I was struggling with.

**supreme**)Basically the question is to reduce a fraction but it's the factorisation I was struggling with.

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(Original post by

Perhaps if you gave us the question we could be more effective in our helping

**TenOfThem**)Perhaps if you gave us the question we could be more effective in our helping

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#20

(Original post by

It's the third line that I am struggling with specifically how we got rid of , and where came from?

**supreme**)It's the third line that I am struggling with specifically how we got rid of , and where came from?

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