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Question

What must be added to 4x2+8x, to make it a perfect square?

A
4
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B
8
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C
16
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D
2
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Solution

The correct option is A 4
We know that, 4x2+8x=(2x)2+2×(2x)×2
Adding 4 on both sides gives,
4x2+8x+4=(2x)2+2×(2x)×2+4
Since, 4x2+8x+4=(2x+2)2
4 is to be added to 4x2+8x to make it a perfect square.

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