What should be added to(7p-3q)² to get (7p+3q)²
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(7p-3q)^2
=49p^2 + 9q^2 - 42pq [(a-b)^2 = a^2+ b^2 - 2ab]
If we add 84pq in the above
=49p^2 + 9q^2 - 42pq +84pq
=49p^2 + 9q^2 + 42pq
=(7p+3q)^2 [a^2+ b^2 + 2ab = (a+b)^2]
=49p^2 + 9q^2 - 42pq [(a-b)^2 = a^2+ b^2 - 2ab]
If we add 84pq in the above
=49p^2 + 9q^2 - 42pq +84pq
=49p^2 + 9q^2 + 42pq
=(7p+3q)^2 [a^2+ b^2 + 2ab = (a+b)^2]
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