Question

What is the product (7x2)(2x3+5)(x2-4x-9)

Answer 1

Answer:

$14x^7-182x^5+35x^4-140x^3-315x^2$

Step-by-step explanation:

Find the product between $7x^2(2x^3+5)$ first.

$7x^2(2x^3) + 7x^2(5)\\14x^5 + 35x^2$

Now multiply this expression with the next expression being sure to distribute into each and every term in both parenthesis.

$(14x^5+35x^2)(x^2-4x-9)$

$14x^5(x^2) + 14x^5(-4x)+14x^5(-9) +35x^2(x^2)+35x^2(-4x)+35x^2(-9)\\\\14x^7-56x^5-126x^5+35x^4-140x^3-315x^2\\\\14x^7-182x^5+35x^4-140x^3-315x^2$