Special Products 2
\(\, \, \, \,{\left(2{x}^{2}-5{y}^{5}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=2{x}^{2}\) and \(B=5{y}^{5}\)
= \(A^2-2AB+B^2\)
= \({\left(2{x}^{2}\right)}^{2}-2\left(2{x}^{2}\right)\left(5{y}^{5}\right)+{\left(5{y}^{5}\right)}^{2}\)
= \(4{x}^{4}-20{x}^{2}{y}^{5}+25{y}^{10}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)