Random Special Products
\(\, \, \, \,{\left(7{x}^{3}-10{y}^{5}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=7{x}^{3}\) and \(B=10{y}^{5}\)
= \(A^2-2AB+B^2\)
= \({\left(7{x}^{3}\right)}^{2}-2\left(7{x}^{3}\right)\left(10{y}^{5}\right)+{\left(10{y}^{5}\right)}^{2}\)
= \(49{x}^{6}-140{x}^{3}{y}^{5}+100{y}^{10}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)