Question

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

Answer 1

Answer: $-2x^{3} + 6x$

Step-by-step 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

Answer:

-2x³+6x

Step-by-step explanation:

-2x(x²-3)

-2x³+6x