Question

Find the product. -2x(x2 - 3) -2 x3 - 6 x -2 x2 6 x 6 x3 -2 x3 6 x.

Answer 1

Product of two polynomials can be done by distribution of multiplication over addition. The product of  $-2x(x^2 - 3)$ is $-2x^3 + 6x$

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

$-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x$

It is because when bases are same and there is multiplication, then powers add up, so we have: $a^b \times a^c = a^{b+c}$

Thus,

The product of  $-2x(x^2 - 3)$ is $-2x^3 + 6x$

Learn more about product of polynomials here:

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