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Help please

So i'm an idiot, i left my homework till last minute. I'm stuck on how to factorise these expressions. Here's what i've got so far for 3i, am i on the right tracks?

ImageUploadedByTapatalk1409692444.834678.jpg

(X+4)^2-(x-3)^2

X^2+8x+16 - x^2-6x+9

X^2+4x+4x+16 - x^2-3x-3x+9

X(x+8)+16 - x(x-6)+9

Thanks
Original post by teenhorrorstory
So i'm an idiot, i left my homework till last minute. I'm stuck on how to factorise these expressions. Here's what i've got so far for 3i, am i on the right tracks?

ImageUploadedByTapatalk1409692444.834678.jpg

(X+4)^2-(x-3)^2



Difference of 2 squares
Original post by TenOfThem
Difference of 2 squares


Yeahh ofc i'm such an idiot lol thanks. So is my working out wrong? :/
(edited 9 years ago)
Original post by teenhorrorstory
Yeahh ofc i'm such an idiot lol thanks. So is my working out wrong? :/


It's not wrong, but it isn't what you're supposed to do, I don't think. You should use the formula for the difference of two squares, not just FOIL it all out.
Bump
Original post by teenhorrorstory
Yeahh ofc i'm such an idiot lol thanks. So is my working out wrong? :/


Not all wrong, just pointless
(edited 9 years ago)
Original post by anosmianAcrimony
It's not wrong, but it isn't what you're supposed to do, I don't think. You should use the formula for the difference of two squares, not just FOIL it all out.


What's the formula? I'm still confused sorry
Original post by teenhorrorstory
What's the formula? I'm still confused sorry


When you have an expression in the form z2 - y2​, it can be factorised to (z-y)(z+y). In this case, (x+4) is z and (x-3) is y.
(edited 9 years ago)
Reply 8
Original post by teenhorrorstory
So i'm an idiot, i left my homework till last minute. I'm stuck on how to factorise these expressions. Here's what i've got so far for 3i, am i on the right tracks?

ImageUploadedByTapatalk1409692444.834678.jpg

(X+4)^2-(x-3)^2

(X^2+8x+16) - (x^2-6x+9)

(X^2+4x+4x+16) - (x^2-3x-3x+9)



It's difference of two squares, I made a couple of tweaks (mainly to make it easier to read. But I'm a bit rusty so I am afraid that's all I can do

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Reply 9
Original post by teenhorrorstory
So i'm an idiot, i left my homework till last minute. I'm stuck on how to factorise these expressions. Here's what i've got so far for 3i, am i on the right tracks?

ImageUploadedByTapatalk1409692444.834678.jpg

(X+4)^2-(x-3)^2

X^2+8x+16 - x^2-6x+9


X^2+8x+16 - (x^2-6x+9) => X^2+8x+16 -x^2+6x-9=14x+7=7*(2x+1)


X^2+4x+4x+16 - x^2-3x-3x+9

X(x+8)+16 - x(x-6)+9

Thanks
Original post by AlphaNick
For example:


Okay. So in the question i was attempting, its (x+16)^2 - (x+9)^2?
Original post by teenhorrorstory
Okay. So in the question i was attempting, its (x+16)^2 - (x+9)^2?


(blah)^2 - (something)^2 = (blah + something)(blah - something)
Original post by TenOfThem
(blah)^2 - (something)^2 = (blah + something)(blah - something)


Ok but then how do i factorise it?
Original post by teenhorrorstory
Ok but then how do i factorise it?


Sorry?

That is how you factorise it - what else would you need to do?
Original post by TenOfThem
Sorry?

That is how you factorise it - what else would you need to do?


Ok,thank you for your help
Original post by teenhorrorstory
Ok,thank you for your help


What answer do you have?
Original post by TenOfThem
(blah)^2 - (something)^2 = (blah + something)(blah - something)


Nice use of colour. :smile:
Original post by BabyMaths
Nice use of colour. :smile:


thanks :biggrin:

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