Question

What is the product (-6a^3b+2ab^2)(5a^2-2ab^2-b)

Answer 1

-30a^5*b+12a^4b^2+6a^3b^2+10a^3b^2-4a^2b^3-2ab^3

Answer 2

Answer:

$-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3$ is the product of $(-6a^3b+2ab^2)(5a^2-2ab^2-b)$

Step-by-step explanation:

Using the exponent rule:

$x^a \cdot x^b = x^{a+b}$

To find the product of:

$(-6a^3b+2ab^2)(5a^2-2ab^2-b)$

$-6a^3b(5a^2-2ab^2-b)+2ab^2(5a^2-2ab^2-b)$

Using distributive property and exponent rules: $a \cdot (b+c) = a\cdot b+ a\cdot c$

⇒$-30a^5b+12a^4b^3+6a^3b^2+10a^3b^2-4a^2b^4-2ab^3$

Combine like terms;

$-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3$