Question

FACTORIZE

1. axny+abn+cxy+bc
2. 6ab^2-10b^3-3acd+5bcd
3. x^2y+xyz^2+zx+z^3
4. 2x^3+3x^2-2x^2y-3xy

Answer 1

they involve grouping, I will do the first and last.

axny+abn+cxy+bc
= an(xy + b) + c(xy + b)
= (xy + b)(an + c)

...

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