Question

What is the simplest form of 3x^3 + x^2 + 2 ( x^3 - 4x^2 )

Answer 1

−8x^4 + 5x^3 + x^2

Explanation:

3x^3 + x^2 + 2 (x^3 − 4x^4)

Apply the distributive property.

3x^3 + x^2 + 2x^3 + 2 (−4x^4)

Multiply −4 by 2.

3x^3 + x^2 + 2x^3 − 8x^4

Simplify by adding terms.

Add 3x^3 and 2x^3.

5x^3 + x^2 − 8x^4

Simplify the expression.

Move x2.

5x^3 − 8x^4 + x^2

Reorder 5x^3 and −8x^4.

−8x^4 + 5x^3 + x^2