Random Special Products
\(\, \, \, \,{\left(3{x}^{2}-4{y}^{5}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=3{x}^{2}\) and \(B=4{y}^{5}\)
= \(A^2-2AB+B^2\)
= \({\left(3{x}^{2}\right)}^{2}-2\left(3{x}^{2}\right)\left(4{y}^{5}\right)+{\left(4{y}^{5}\right)}^{2}\)
= \(9{x}^{4}-24{x}^{2}{y}^{5}+16{y}^{10}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)