Question

1. simplify

(10 + 7x - x²) - (-6x² - 18 + 5x)

Explanation:

Step1: Remove parentheses

To remove the parentheses, we distribute the negative sign to each term inside the second parentheses. So we have:
\(10 + 7x - x^{2}+ 6x^{2}+ 18 - 5x\)

Step2: Combine like terms

• For the \(x^{2}\) terms: \(-x^{2}+ 6x^{2}=5x^{2}\)
• For the \(x\) terms: \(7x - 5x = 2x\)
• For the constant terms: \(10 + 18=28\)

Putting it all together, we get \(5x^{2}+ 2x + 28\)

Answer:

\(5x^{2}+2x + 28\)