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Select the expressions that are equivalent to 7(d+4)7(d + 4).\newlineMulti-select Choices:\newline(A)(4+d)7(4 + d)7\newline(B)28d+728d + 7\newline(C)(d+4)7(d + 4)7\newline(D)7d+287d + 28

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Q. Select the expressions that are equivalent to 7(d+4)7(d + 4).\newlineMulti-select Choices:\newline(A)(4+d)7(4 + d)7\newline(B)28d+728d + 7\newline(C)(d+4)7(d + 4)7\newline(D)7d+287d + 28
  1. Distribute 77: Step 11: Distribute 77 to each term inside the parentheses.\newlineCalculation: 7(d+4)=7d+7×4=7d+287(d + 4) = 7d + 7\times4 = 7d + 28
  2. Compare with choices: Step 22: Compare the result with the given choices.\newlineCalculation: 7d+287d + 28 matches with choice (D)
  3. Check other choices: Step 33: Check other choices for equivalence.\newlineCalculation: \newline(A) (4+d)7=7d+28(4 + d)7 = 7d + 28 (after rearranging dd and 44, multiplication is commutative)\newline(C) (d+4)7=7d+28(d + 4)7 = 7d + 28 (same as original expression)\newline(B) 28d+728d + 7 does not match 7d+287d + 28

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