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Question

If 3x+2x=7, then (9x24x2)=


A

25

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B

35

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C

49

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D

30

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Solution

The correct option is B

35


3x+2x=7Squaring, we get(3x+2x)2=(7)2=499x2+4x2+2×3x×2x=499x2+4x2+12=49 9x2+4x2=4912=37(3x2x)2=9x2+4x22×3x×2x=9x2+4x212=3712=25=(5)2 3x2x=5Now, (3x+2x)(3x2x)=7×5 (3x)2(2x)2=35 9x24x2=35

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