Question

Which is a correct expansion of (4x+1)(2x2-2)

Answer 1

To expand the expression (4x+1)(2x^2-2), distribute 4x to each term inside the second parentheses, and distribute 1 to each term inside the second parentheses. Simplify each term and combine like terms to get the expanded expression.

Step-by-step explanation:

To expand the expression (4x+1)(2x^2-2), we can use the distributive property.

First, distribute 4x to each term inside the second parentheses, and distribute 1 to each term inside the second parentheses:

(4x)(2x^2) + (4x)(-2) + 1(2x^2) + 1(-2)

Simplify each term:

8x^3 - 8x + 2x^2 - 2

Combine like terms:

8x^3 + 2x^2 - 8x - 2