Question

Factorize -3(x-2y) + 6(x-2y)^2

Answer 1

is there a GCF ?
start by pulling out the GCF

Answer 2

\(\large -3(x-2y) + 6(x-2y)^2\)

Answer 3

see that both terms, have \(3(x-2y)\) as common,
so factor it out first

Answer 4

\(\large -3(x-2y) + 6(x-2y)^2 \)

Factoring out GCF gives :

\(\large 3(x-2y)[-1 + 2(x-2y)] \)

Answer 5

simplify the thing inside right 'square brackets'

Answer 6

the basic way if you're confused, is to expand it first, then factorise the equation as a whole

-3(x-2y)+6(x-2y)^2
=-3x+6y+6(x^2-2xy+4y^2)


remove brackets, simplify and factorise

Answer 7

anwers= -3(x-2y)(4y+1-2x)