Question

What is the simplified form of this expression?

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answer 1

The expression
`(5x^2 + 2x + 11) - 7 - 4x + 2x^2` simplifies to
`7x^2 - 2x + 4.`after distributing the negative sign through the second set of parentheses and combining like terms.

Step-by-step explanation:

The simplified form of the expression (5x2 + 2x + 11) - (7 + 4x - 2x2) involves combining like terms after distributing the negative sign through the second parentheses. Here's how to do it step by step:

• Distribute the negative sign to each term inside the second parentheses:
  `(5x^2 + 2x + 11) - 7 - 4x + 2x^2`
• Combine like terms:
  `5x^2 + 2x^2 + 2x - 4x + 11 - 7`
• Simplify each group:
  `7x^2 - 2x + 4`

Therefore, the simplified form of the expression is
`7x^2 - 2x + 4.`

Answer 2

7x² - 2x + 4

Step-by-step explanation:

(5x² + 2x + 11) - (7 + 4x - 2x²) = 5x² + 2x + 11 - 7 - 4x + 2x² =

(5x² + 2x²) + (2x - 4x) + (11 - 7) = 7x² - 2x + 4