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Select the expressions that are equivalent to 5(c+1)5(c + 1).\newlineMulti-select Choices:\newline(A) 1(c+5)1(c + 5)\newline(B) 5(1+c)5(1 + c)\newline(C) 6c6c\newline(D) 5c5c

Full solution

Q. Select the expressions that are equivalent to 5(c+1)5(c + 1).\newlineMulti-select Choices:\newline(A) 1(c+5)1(c + 5)\newline(B) 5(1+c)5(1 + c)\newline(C) 6c6c\newline(D) 5c5c
  1. Expand expression: Step 11: Expand the original expression 5(c+1)5(c + 1).\newlineCalculation: 5(c+1)=5c+55(c + 1) = 5c + 5.
  2. Compare with choice (A): Step 22: Compare with choice (A) 1(c+5)1(c + 5).\newlineCalculation: 1(c+5)=c+51(c + 5) = c + 5.
  3. Compare with choice (B): Step 33: Compare with choice (B) 5(1+c)5(1 + c).\newlineCalculation: 5(1+c)=5c+55(1 + c) = 5c + 5.
  4. Compare with choice (C): Step 44: Compare with choice (C) 6c6c. Calculation: 6c6c.
  5. Compare with choice (D): Step 55: Compare with choice (D) 5c5c. Calculation: 5c5c.

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