Question

1. $(7x - 8x^2 + 3x^3) - (3x^3 + 2x^2 + 5x)$

Explanation:

Step1: Remove parentheses

To remove the parentheses, we distribute the negative sign to the terms inside the second parentheses:
\((7x - 8x^2 + 3x^3) - (3x^3 + 2x^2 + 5x)=7x - 8x^2 + 3x^3 - 3x^3 - 2x^2 - 5x\)

Step2: Combine like terms

• For the \(x^3\) terms: \(3x^3- 3x^3 = 0\)
• For the \(x^2\) terms: \(-8x^2-2x^2=- 10x^2\)
• For the \(x\) terms: \(7x - 5x=2x\)

Answer:

\(2x-10x^2\) (or \(- 10x^2 + 2x\))