Factorising

[meager agate]

can someone explain how to do this please <@&791435371564892232>

[deep coral]

is this a mock question

[meager agate]

its from a past paper

2019

question 14

[deep coral]

alr

so we can see that theres an x+y in both terms

so we can factor that out

(x+y)[(x+y)+3]

[meager agate]

i dont get how we can just do that

is that just a rule u have to knoww

[deep coral]

well

[meager agate]

or is there like an explanation

[deep coral]

how would u factorise x^2 + x

[meager agate]

x(x+1)

[deep coral]

so now if x = x+y?

[meager agate]

wait how dos x go from x(x+1) to x=x+y

[deep coral]

i think it was a bad example

if u had z^2 + z

ud make it z(z+1)

[meager agate]

yh

yh

[deep coral]

so if z = x+y

just change all the z's to x+y

so youd have
(x+y)^2 + (x+y)
(x+y)[(x+y)+1]

[meager agate]

x+y(x+y+1)

ooh

yhh

[deep coral]

yeah

[meager agate]

so wait if we go back to the question

[deep coral]

you just factor out the x+y

[meager agate]

so wait

what do u get when u do that

which x+y are we factoring out

[rigid ermine]

SpongeBob hear me out

Start off by timesing out everything

What do u get

[deep coral]

?

[deep coral]

why would u do that

[meager agate]

im so lost sorry 😭

[meager agate]

so (x+y)(x+y) + 3(x+y)

expand those

[deep coral]

for the question lets say z = x+y
then we have z^2 +3z
so z(z+3) and we just sub back in x+y
(x+y)(x+y+3)

[deep coral]

dont

waste of time

[meager agate]

wait im gonna write that put on a paper so i can just see it more clearly

[meager agate]

wait so yh i get that

but isnt that different to the question

do u happen to know the name of that topic i think i need to watch a few videos on it 😭

[deep coral]

its just factorising

[meager agate]

do u know any videos that go through that type of factorising

[deep coral]

no

[meager agate]

nws thanks for ur help