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29 which of the following is equivalent to the expression below? $x^{2}…

Question

29 which of the following is equivalent to the expression below? $x^{2}+3x - 5x^{2}+6$ a $-4x^{2}+3x + 6$ b $4x^{2}+3x + 6$ c $x^{2}-2x + 6$ d $x^{2}+2x + 6$

Explanation:

Step1: Combine like $x^2$ terms

$x^2 - 5x^2 = (1-5)x^2 = -4x^2$

Step2: Keep remaining terms unchanged

$3x + 6$

Step3: Combine all simplified terms

$-4x^2 + 3x + 6$

Answer:

A. $-4x^2 + 3x + 6$