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Select the expressions that are equivalent to 4(5d)4(5d).\newlineMulti-select Choices:\newline(A) 4(d+4d)4(d + 4d)\newline(B) 4(5+d)4(5 + d)\newline(C) d+9d + 9\newline(D) 5d+45d + 4

Full solution

Q. Select the expressions that are equivalent to 4(5d)4(5d).\newlineMulti-select Choices:\newline(A) 4(d+4d)4(d + 4d)\newline(B) 4(5+d)4(5 + d)\newline(C) d+9d + 9\newline(D) 5d+45d + 4
  1. Simplify Expression: Simplify the given expression 4(5d)4(5d) to find its equivalent forms.\newlineCalculation: 4×5d=20d4 \times 5d = 20d.
  2. Compare Choice (A): Compare choice (A) 4(d+4d)4(d + 4d).\newlineCalculation: 4(d+4d)=4×5d=20d4(d + 4d) = 4 \times 5d = 20d.
  3. Compare Choice (B): Compare choice (B) 4(5+d)4(5 + d).\newlineCalculation: 4(5+d)=20+4d4(5 + d) = 20 + 4d, which is not equal to 20d20d.

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