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Question

2×(x+2)+2×(2) is equal to ______.


A

2(x+2)

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B

2(4x+4)

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C

2(x+4)

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D

2(4x+2)

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Solution

The correct option is C

2(x+4)


We know that multiplying two numbers separately by 2 and then adding is same as multiplying the sum of two numbers by 2.

i.e., If x and y are any two numbers, then 2x+2y=2(x+y)

So, 2×(x+2))+2×(2)
=2[(x+2)+(2)]
=2×(x+4)
=2(x+4)


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