Question

Simplify (-8y^2+6y-1)+(-8y^2+8y+1)(-3y^2+9y-9)

Answer 1

Answer:

$24y^4-96y^3+133y^2-57y-10$

Step-by-step explanation:

Given expression

$(-8y^2+6y-1)+(-8y^2+8y+1)(-3y^2+9y-9)$

First, multiply two polynomials in brackets:

$(-8y^2+8y+1)(-3y^2+9y-9)\\ \\=24y^4-72y^3+72y^2-24y^3+72y^2-72y-3y^2+9y-9\\ \\=24y^4-96y^3+141y^2-63y-9$

No add two polynomials:

$-8y^2+6y-1+24y^4-96y^3+141y^2-63y-9\\ \\=24y^4-96y^3+133y^2-57y-10$