Factorise a^3+b^3 using this factorisation x^3 +1

1.	Factorise a^3+b^3 using this factorisation x^3 +1
Answer» ${a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3} \\ {a}^{3} + {b}^{3} = {(a + b)}^{3} - 3ab(a + b) \\ = {(x + 1)}^{3} - 3x(x + 1)$

Answer»

${a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3} \\ {a}^{3} + {b}^{3} = {(a + b)}^{3} - 3ab(a + b) \\ = {(x + 1)}^{3} - 3x(x + 1)$

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Factorise a^3+b^3 using this factorisation x^3 +1​

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Factorise a^3+b^3 using this factorisation x^3 +1