(-x^2+3x)-(5x+2x^2)

2 min read Jun 16, 2024

Simplifying Algebraic Expressions: (-x^2 + 3x) - (5x + 2x^2)

This article will guide you through simplifying the algebraic expression (-x^2 + 3x) - (5x + 2x^2).

The expression consists of two binomials enclosed in parentheses:

(-x^2 + 3x): This binomial contains a term with x squared and a term with x.
(5x + 2x^2): This binomial also contains a term with x squared and a term with x.

The minus sign between the parentheses indicates subtraction.

To simplify the expression, we need to follow these steps:

Distribute the negative sign: The minus sign in front of the second parentheses indicates that we need to multiply each term inside the second parentheses by -1. This gives us:

(-x^2 + 3x) + (-1)(5x + 2x^2) = (-x^2 + 3x) - 5x - 2x^2
Combine like terms: Identify terms with the same variable and exponent.
- x² terms: -x² - 2x² = -3x²
- x terms: 3x - 5x = -2x
Write the simplified expression: Combine the simplified terms.

-3x² - 2x

Therefore, the simplified form of the expression (-x^2 + 3x) - (5x + 2x^2) is -3x² - 2x.