Question

Answer 1

`a)3x^2+6x=3x(x+2)`

`b)8x^2y-6xy^2+2xy=2xy(4x-3y+1)`

`c)x^2-14x+49=x^2-2.x.7+7^2=(x-7)^2`

`d)(x+y)^2-(x-y)^2=(x+y-x+y)(x+y+x-y)=2y.2x=4xy`

`e)x^3-10x^3+25x=-9x^3+25x=x(25-9x^2)=x(5-3x)(5+3x)`

`f)3x^5-81x^2=3x^2(x^3-27)=3x^2(x-3)(x^2+3x+9)`

Answer 2

a: =3x(x+2)

b: \(=2xy\left(4x-3y+1\right)\)

c: =(x-7)²

d: \(=\left(x+y-x+y\right)\left(x+y+x-y\right)=4xy\)