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1. simplify: $(3x^{2}-x)+(2x^{2}+5x)$ a. $5x^{2}+4x$ b. $x^{2}+4x$ c. $…

Question

  1. simplify: $(3x^{2}-x)+(2x^{2}+5x)$

a. $5x^{2}+4x$
b. $x^{2}+4x$
c. $5x^{2}$
d. $6x^{2}+5x$

Explanation:

Step1: Remove parentheses

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

Step2: Combine like $x^2$ terms

$3x^2 + 2x^2 = 5x^2$

Step3: Combine like $x$ terms

$-x + 5x = 4x$

Step4: Combine results

$5x^2 + 4x$

Answer:

a. $5x^2 + 4x$