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

63

Step-by-step explanation:

To find the area of a trapezoid you have to use the formula

a+b/2 h

So we would substitute them

3 + 15 / 2 x 7

Which would equal

63

Hope this helps :)