Question

Find the product of -2 x ( x^2 - 3)

Answer 1

Answer:
`-2x^(3) + 6x`

Explanation:

Find the Product

−2x (
`x^(2)` − 3)

Apply the distributive property.

−2x ⋅
`x^(2)` − 2x ⋅ −3

Multiply x by
`x^(2)` by adding the exponents.

−2 (
`x^(2)`x ) − 2x ⋅ −3

Multiply
`x^(2)` by x.

Raise x to the power of 1.

−2 (
`x^(2)`
`x^(1)` ) − 2x ⋅ −3

Use the power rule
`a^(m) a^(n) =a^(m+n)` to combine exponents.

`- 2x^(2+1)` − 2x ⋅ −3

Add 2 and 1.

`- 2x^(3)`− 2x ⋅ −3

Multiply −3 by −2.

`-2x^(3)`+ 6x

Answer 2

-2x³+6x

Explanation:

-2x(x²-3)

-2x³+6x