Random Special Products
\(\, \, \, \,\left(2{x}^{2}+7{y}^{2}\right)\left(2{x}^{2}-7{y}^{2}\right)\)
= \(\left(A+B\right)\left(A-B\right)\) , where \(A=2{x}^{2}\) and \(B=7{y}^{2}\)
= \(A^2-B^2\)
= \({\left(2{x}^{2}\right)}^{2}-{\left(7{y}^{2}\right)}^{2}\)
= \(4{x}^{4}-49{y}^{4}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)