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Question

What must be added to 2a2-7ab+5b2 to get a2+4ab-3b2 ?


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Solution

Finding the required expression

Let, A must be added to 2a2-7ab+5b2 to get a2+4ab-3b2

According to the question,

A+2a2-7ab+5b2=a2+4ab-3b2A=a2+4ab-3b2-(2a2-7ab+5b2)=a2+4ab-3b2-2a2+7ab-5b2=a2-2a2-3b2-5b2+4ab+7ab=-a2-8b2+11ab

Hence, -a2-8b2+11ab must be added to 2a2-7ab+5b2 to get a2+4ab-3b2.


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