Question

(5x^2 - 3x)(8x^2 + 4x)

Answer 1

For this case we have the following expression:

$(5x ^ 2-3x) (8x ^ 2 + 4x)$

To find the product, we apply distributive property that states:

$(a + b) (c + d) = ac + ad + bc + bd$

So:

$(5x ^ 2) (8x ^ 2) + (5x ^ 2) (4x) - (3x) (8x ^ 2) - (3x) (4x) =\\40x ^ 4 + 20x ^ 3-24x ^ 3-12x ^ 2 =\\40x ^ 4-4x ^ 3-12x ^ 2$

ANswer:

$40x ^ 4-4x ^ 3-12x ^ 2$