Question

Simplify: 5x³−x²−(2x+7x²)

Answer 1

To simplify the expression 5x³−x²−(2x+7x²), distribute the negative across the parentheses, combine like terms, and the simplified expression is 5x³ - 8x² - 2x.

Step-by-step explanation:

To simplify the expression 5x³−x²−(2x+7x²), we first expand it. The distributive property tells us to multiply each term in the parentheses by -1 since there is a minus sign in front of the parentheses. Let's break it down step by step:

1. Distribute the negative sign to the terms inside the parentheses: -1(2x) - 1(7x²) becomes -2x - 7x².
2. Combine like terms: 5x³ - x² - 2x - 7x².
3. Since -x² and -7x² are like terms, add them together to get -8x².
4. The final expression is now 5x³ - 8x² - 2x.

The simplified expression is 5x³ - 8x² - 2x.