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Q
QuestionMathematics

Rewrite (128 + 32) using factoring. A. 2(124 + 17) B. 4(32 + 8) C. 8(17 + 4) D. 12(14 + 3)
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Examine the original expression

The original expression is $$128 + 32

Step 3:
: Look for a common factor

- $$32 = 4 \times 8
I notice that both 128 and 32 are divisible by 4.

Step 4:
: Rewrite the expression using the common factor

128 + 32 = 4(32) + 4(8)
= 4(32 + 8)

Step 5:
: Verify the factored form

4(32 + 8) = 4(40) = 160$$, which matches the original sum of $$128 + 32

Step 6:
: Check the given options

Looking at the options, this matches option B: $$4(32+8)

Final Answer

B. 4(32 + 8)