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English
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Cube of DifferenceDescription The Cube of Difference Rule states that: \({(a-b)}^{3}={a}^{3}-3{a}^{2}b+3a{b}^{2}-{b}^{3}\) |
Examples \[{x}^{3}-6{x}^{2}+12x-8\] 1 Rewrite it in the form \({a}^{3}-3{a}^{2}b+3a{b}^{2}-{b}^{3}\), where \(a=x\) and \(b=2\). \[{x}^{3}-3{x}^{2}(2)+3(x)\times {2}^{2}-{2}^{3}\] 2 Use Cube of Difference: \({(a-b)}^{3}={a}^{3}-3{a}^{2}b+3a{b}^{2}-{b}^{3}\). \[{(x-2)}^{3}\] Done  |