# Math Algebraic fraction help please!!!

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Thread starter 4 years ago
#1
Heyy i was wondering of someone could help me out on this??
I'm doing corrections and literally can't seem to work this out:

(x+a) - (x+c)
(x-b) - (x+d)

Any help would be amazing!! Thankyou
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4 years ago
#2
(Original post by SoDoneWithSchool)
Heyy i was wondering of someone could help me out on this??
I'm doing corrections and literally can't seem to work this out:

(x+a) - (x+c)
(x-b) - (x+d)

Any help would be amazing!! Thankyou
Have you tried making sure each fraction has the same denominator?

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Thread starter 4 years ago
#3
(Original post by Matrix123)
Have you tried making sure each fraction has the same denominator?

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Omg heyyy!! I saw your last post a bit too late of the #southie's convo I'm finishing GCSE's btw. In reply to that!!

Annnd girll my mind is fuggled up rn. I tried but it didn't look right?

It was like x squared bd??
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4 years ago
#4
(Original post by SoDoneWithSchool)
Heyy i was wondering of someone could help me out on this??
I'm doing corrections and literally can't seem to work this out:

(x+a) - (x+c)
(x-b) - (x+d)

Any help would be amazing!! Thankyou
i would cross multiply

(x+a)(x+d) - (x+c)(x-b)
-----------------------------
(x-b)(x+d)

then you use FOIL

I'm not good at fractional algebra either but this is the stage where i would go with
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4 years ago
#5
(Original post by SoDoneWithSchool)
Omg heyyy!! I saw your last post a bit too late of the #southie's convo I'm finishing GCSE's btw. In reply to that!!

Annnd girll my mind is fuggled up rn. I tried but it didn't look right?

It was like x squared bd??
Haha no worries. Why don't you post your workings and I can tell you the bits I think you need to change

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Thread starter 4 years ago
#6
(Original post by Matrix123)
Haha no worries. Why don't you post your workings and I can tell you the bits I think you need to change

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Thiis looks reaally wrong.
But here it goes:

The final answer i got is like

ax+ad-x²+cx-bc
bd
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4 years ago
#7
(Original post by SoDoneWithSchool)
Thiis looks reaally wrong.
But here it goes:

The final answer i got is like

ax+ad-x²+cx-bc
bd
Take it one step at a time:
(x+a) - (x+c)
------ ------
(x-b) - (x+d)

You can multiply the numerator and denominator of the first fraction by (x+d)second one by (x-b) as ihatePE said. Then write out the full answer you get to the numerator and leave the denominator (don't simplify it yet)
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Thread starter 4 years ago
#8
(Original post by Matrix123)
Take it one step at a time:
(x+a) - (x+c)
------ ------
(x-b) - (x+d)

You can multiply the numerator and denominator of the first fraction by (x+d)second one by (x-b) as ihatePE said. Then write out the full answer you get to the numerator and leave the denominator (don't simplify it yet)
Okay. i got that bit, but its so long. Should i leave it that way??
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4 years ago
#9
(Original post by SoDoneWithSchool)
Okay. i got that bit, but its so long. Should i leave it that way??
Fair enough

(x2+ax+xd+ad)-(x2-xb+xc-bc)
--------------------------------------
(x-b)(x+d)

You need to pay careful attention to the signs in the numerator, especially with the second brackets. Can you simplify the numerator?
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Thread starter 4 years ago
#10
(Original post by Matrix123)
Fair enough

(x2+ax+xd+ad)-(x2-xb+xc-bc)
--------------------------------------
(x-b)(x+d)

You need to pay careful attention to the signs in the numerator, especially with the second brackets. Can you simplify the numerator?
I sound really stupid rn
but its not possible to simplify cause there aren't any common things apart from the x²'s in the numerator right?
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4 years ago
#11
(Original post by SoDoneWithSchool)
I sound really stupid rn
but its not possible to simplify cause there aren't any common things apart from the x²'s in the numerator right?
That's correct. Sorry my mistake, I meant can you multiply everything out if the second bracket, then you could simplify the x2s.

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Thread starter 4 years ago
#12
(Original post by Matrix123)
That's correct. Sorry my mistake, I meant can you multiply everything out if the second bracket, then you could simplify the x2s.

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Its fine!! Okay, so the x²'s would cancel out right?
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4 years ago
#13
(Original post by SoDoneWithSchool)
Its fine!! Okay, so the x²'s would cancel out right?
Yep

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Thread starter 4 years ago
#14
ohhh so is that it??
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4 years ago
#15
(Original post by SoDoneWithSchool)
ohhh so is that it??
If you've got everything out of the brackets then I think so, I can't get any further. You don't have the answer do you?

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Thread starter 4 years ago
#16
(Original post by Matrix123)
If you've got everything out of the brackets then I think so, I can't get any further. You don't have the answer do you?

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Yeah i guess that works! Nope i don't have the answer sadly. I was so confused but thank you so much for clearing it up!
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4 years ago
#17
(Original post by SoDoneWithSchool)
Yeah i guess that works! Nope i don't have the answer sadly. I was so confused but thank you so much for clearing it up!
You're welcome. Please let me know if you make any advancements on the answer

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Thread starter 4 years ago
#18
(Original post by Matrix123)
You're welcome. Please let me know if you make any advancements on the answer

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I will do!!
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4 years ago
#19
(Original post by SoDoneWithSchool)
I will do!!
Thanks

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4 years ago
#20
Hey! I'm taking a break from A2 maths work right now and I couldn't simplify it any further than this! (apologies for the messy writing and my arms in the background ahaha)

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