Special Products 2
\(\, \, \, \,{\left(3{x}^{4}-5{y}^{2}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=3{x}^{4}\) and \(B=5{y}^{2}\)
= \(A^2-2AB+B^2\)
= \({\left(3{x}^{4}\right)}^{2}-2\left(3{x}^{4}\right)\left(5{y}^{2}\right)+{\left(5{y}^{2}\right)}^{2}\)
= \(9{x}^{8}-30{x}^{4}{y}^{2}+25{y}^{4}\)
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)