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(7x² - 5) - (3x² + 5x) which of the following is equivalent to the give…

Question

(7x² - 5) - (3x² + 5x)
which of the following is equivalent to the given expression?
choose 1 answer:
a 4x² - 5x - 5
b 4x² - 10
c 4x² + 5x - 5
d 10x² + 5x - 5

Explanation:

Step1: Remove the parentheses

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

Step2: Combine like terms

Combine the \(x^2\) terms: \(7x^2-3x^2 = 4x^2\). The \(x\) term is \(-5x\) and the constant term is \(-5\). So the simplified expression is \(4x^2 - 5x - 5\).

Answer:

A. \(4x^2 - 5x - 5\)