Which of these quadratic expressions is equivalent to x^2 + 12x +32 A. (2x+8)(x+2) B. (x+8)(x+4) C. (x+2)(2x+6) D. (x+2)(x+6)

asked Apr 14, 2021 160k views

3 votes

Which of these quadratic expressions is equivalent to

x^2 + 12x +32

A. (2x+8)(x+2)
B. (x+8)(x+4)
C. (x+2)(2x+6)
D. (x+2)(x+6)

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1 vote

Answer:

B. (x+8)(x+4)

Explanation:

${x}^(2) + 12x + 32 \\ = {x}^(2) + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}$

Sukane answered Apr 18, 2021

5.8k points

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