Question

Fatore COMPLETAMENTE:

a) ab² - ac²

b) x³y - xy³

c) 25a^4 - 100x²

d) a³ - 25a

e) 4x^4 - x²

f) y^4 - 16

g) a² - b² + 10a - 10b

Answer 1

a) $ab^2-ac^2=a(b^2-c^2)=\boxed{a(b-c)(b+c)}$

b) $x^3y-xy^3=xy(x^2-y^2)=\boxed{xy(x-y)(x+y)}$

c) $25a^4-100x^2=25(a^4-4x^2)=\boxed{25(a^2-2x)(a^2+2x)}$

d) $a^3-25a=a(a^2-25)=\boxed{a(a-5)(a+5)}$

e) $4x^4-x^2=x^2(4x^2-1)=\boxed{x^2(2x-1)(2x+1)}$

f) $y^4-16=(y^2+4)(y^2-4)=\boxed{(y^2+4)(y-2)(y+2)}$

g) $a^2-b^2+10a-10b=(a+b)(a-b)+10(a-b)=\boxed{(10+a+b)(a-b)}$