Multiplying the two polynomials Using the distributive property.

A) (4x^2 - 4x) (x2 - 4)

B) (x^2+x-2) (4x^2-8)

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