Special Products 2
\(\, \, \, \,{\left(4{x}^{3}-3{y}^{3}\right)}^{2}\)
= \({\left(A-B\right)}^{2}\) , where \(A=4{x}^{3}\) and \(B=3{y}^{3}\)
= \(A^2-2AB+B^2\)
= \({\left(4{x}^{3}\right)}^{2}-2\left(4{x}^{3}\right)\left(3{y}^{3}\right)+{\left(3{y}^{3}\right)}^{2}\)
= \(16{x}^{6}-24{x}^{3}{y}^{3}+9{y}^{6}\)
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Differential Calculus
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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)