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Factorising

Can someone explain to me how I do this question please?

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Reply 2
Avatar for B_9710
B_9710
18
Take out a factor if (x+6)^3 first and then simplify
Original post by B_9710
Take out a factor if (x+6)^3 first and then simplify


I don’t know what you mean? :/
Reply 4
Avatar for Notnek
Notnek
21
Original post by NineOfDiamonds
I don’t know what you mean? :/

Start with a simpler expression:

y4+y3zy^4 +y^3z

Can you factorise this? Then think about how this is similar to what you have.
Original post by Notnek
Start with a simpler expression:

y4+y3zy^4 +y^3z

Can you factorise this? Then think about how this is similar to what you have.


Is it z(y³ + y⁴/z) ?
Reply 6
Avatar for Notnek
Notnek
21
Original post by NineOfDiamonds
Is it z(y³ + y⁴/z) ?

No the common factor here is y3y^3 so you need to take that outside the brackets.

You need to be confident with this type of factorising before you’ll be able to understand the question in your original post.
Original post by Notnek
No the common factor here is y3y^3 so you need to take that outside the brackets.

You need to be confident with this type of factorising before you’ll be able to understand the question in your original post.


Oh right I understand
Original post by Notnek
No the common factor here is y3y^3 so you need to take that outside the brackets.

You need to be confident with this type of factorising before you’ll be able to understand the question in your original post.


Ok so I’ve done,

(x+6)^3 (1(x+6))(3x+4).

Is this right? If so what do I do next?
(edited 6 years ago)
Original post by NineOfDiamonds
Ok so I’ve done,

(x+6)^3 (1(x+6))(3x+4).

Is this right? If so what do I do next?


No, it's not right.

Try the one Notnek posted.

y4+y3zy^4 +y^3 z .

What do you get?
Original post by BuryMathsTutor
No, it's not right.

Try the one Notnek posted.

y4+y3zy^4 +y^3 z .

What do you get?


y^3(y+z)
Original post by NineOfDiamonds
y^3(y+z)


Good. How is this like your original question?
Original post by BuryMathsTutor
Good. How is this like your original question?


Because (x+6)^3 is the highest factor of the first two terms. Why can’t I factorise that out like I did?
Reply 13
Avatar for MR1999
MR1999
21
Original post by NineOfDiamonds
Because (x+6)^3 is the highest factor of the first two terms. Why can’t I factorise that out like I did?


You forgot the addition sign between (x+6) and (3x+4)
Is this higher tier maths? Or foundation?
Original post by MR1999
You forgot the addition sign between (x+6) and (3x+4)


The addition signs are there?
Original post by Maths_English
Is this higher tier maths? Or foundation?


Higher tier FM
Reply 17
Avatar for MR1999
MR1999
21
Original post by NineOfDiamonds
The addition signs are there?


In any case, the next step would simply be to add the two terms and then you're done.
Original post by NineOfDiamonds
Higher tier FM


Makes sense, still building up to higher tier algebra at the moment, only just learned factorising and expanding so I tried to do this question with foundation tier knowledge.
Original post by MR1999
In any case, the next step would simply be to add the two terms and then you're done.


Which 2 terms?

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