Answer:
A) 4x^4 -4x^3- 16x^2 +16x
B)4x^4 + 4x^3 -16x^2 -8x +16
Step-by-step explanation:
A) (4x^2 - 4x)(x^2 - 4)
we apply distributive property:
4x^2 * x^2 - 4x^2 * 4 - 4x * x^2 +4x * 4
so we have:
4x^4 - 16x^2 -4x^3 +16x
4x^4 -4x^3- 16x^2 +16x
B) (x^2+x-2)(4x^2-8)
we apply distributive property:
x^2 * 4x^2 - x^2 * 8 + x * 4x^2 - x * 8 - 2 * 4x^2 + 2*8
we have:
4x^4 -8x^2 +4x^3 -8x -8x^2 +16
4x^4 + 4x^3 -16x^2 -8x +16