Random Special Products
\(\, \, \, \,{\left(3{x}^{4}+7{y}^{4}\right)}^{2}\)
= \({\left(A+B\right)}^{2}\) , where \(A=3{x}^{4}\) and \(B=7{y}^{4}\)
= \(A^2+2AB+B^2\)
= \({\left(3{x}^{4}\right)}^{2}+2\left(3{x}^{4}\right)\left(7{y}^{4}\right)+{\left(7{y}^{4}\right)}^{2}\)
= \(9{x}^{8}+42{x}^{4}{y}^{4}+49{y}^{8}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)