1.

Factorise the following identity a6+b6

Answer» HELLO DEAR,

{a}^{6} + {b}^{6} \\ \\ = > {( {(a)}^{2}) }^{3} + {( ({b)}^{2}) }^{3} \\ \\ = > {({a}^{2} + {b}^{2}) }^{3} \\ \\ as \: \: we \: \: know \: \\ (a + b {)}^{3} = {a}^{3} + {b}^{3} + 3ab( a+b ) \\ \\ = > { ({a}^{2} + {b}^{2} )}^{3} = {( {(a)}^{2} )}^{3} + {( {(b)}^{2}) }^{3} + 3 \times {a}^{2} \times {b}^{2} + ( {a}^{2} + {b}^{2} ) \\ \\ = > {a}^{6} + {b}^{6} + 3 {a}^{2} {b}^{2} + ( {a}^{2} + {b}^{2} )


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