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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=49−12=37(3x−2x)2=9x2+4x2−2×3x×2x=9x2+4x2−12=37−12=25=(5)2∴3x−2x=5Now, (3x+2x)(3x−2x)=7×5⇒(3x)2−(2x)2=35⇒9x2−4x2=35