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Select the expressions that are equivalent to 5(5c)5(5c).\newlineMulti-select Choices:\newline(A) 25c25c\newline(B) 5+5c5 + 5c\newline(C) 5(4c+c)5(4c + c)\newline(D) (5c)5(5c)5

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Q. Select the expressions that are equivalent to 5(5c)5(5c).\newlineMulti-select Choices:\newline(A) 25c25c\newline(B) 5+5c5 + 5c\newline(C) 5(4c+c)5(4c + c)\newline(D) (5c)5(5c)5
  1. Simplify Expression: Step 11: Simplify the expression 5(5c)5(5c).\newlineCalculation: 5×5c=25c5 \times 5c = 25c
  2. Compare to Choices: Step 22: Compare the simplified expression to the choices.\newlineReasoning: We need to find which choices match 25c25c.\newline- (A) 25c25c matches.\newline- (B) 5+5c5 + 5c does not match because it represents an addition, not multiplication.\newline- (C) 5(4c+c)5(4c + c) simplifies to 5×5c=25c5 \times 5c = 25c, which matches.\newline- (D) (5c)5(5c)^5 represents 5c5c raised to the power of 55, which is not equivalent to 25c25c.

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