Random Special Products
\(\, \, \, \,{\left(5{x}^{2}-8{y}^{2}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=5{x}^{2}\) and \(B=8{y}^{2}\)
= \(A^2-2AB+B^2\)
= \({\left(5{x}^{2}\right)}^{2}-2\left(5{x}^{2}\right)\left(8{y}^{2}\right)+{\left(8{y}^{2}\right)}^{2}\)
= \(25{x}^{4}-80{x}^{2}{y}^{2}+64{y}^{4}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)