Question

Simplify the expression below. Give your answer in standard form.

(18 – 2x^3 + 9x) - (4 – x² – 3x^3 +11x) .

Answer 1

To simplify the expression, redistribute the negative sign across the second set of parentheses, combine like terms, and you arrive at the simplified expression x^3 - 2x + 14.

Step-by-step explanation:

To simplify the expression (18 – 2x^3 + 9x) - (4 – x² – 3x^3 +11x), we'll combine like terms and eliminate any parentheses. Start by redistributing the negative sign through the terms in the second set of parentheses.

First, remove parentheses: 18 – 2x^3 + 9x - 4 + x² + 3x^3 - 11x

Combine like terms, be sure to add or subtract the coefficients:

• Combine x^3 terms: ( – 2x^3 + 3x^3 ) = x^3
• Combine x terms: ( 9x - 11x ) = -2x
• Combine constant terms: ( 18 - 4 ) = 14

Now put everything together to get the simplified expression:

x^3 - 2x + 14