Question

Factorise the following
1. a3+1​

Answer 1

°° HEYAA °°

${a}^{3} + 1 \\ \\ by \: using \: identity \\ \\ (a + b) ^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ \\ {a}^{3} + 1 = {a}^{3} + 1 + 3 \times a \times 1(a + 1) \\ \\ = {a}^{3} + 1 + 3 {a}^{2} + 3 \\ \\ = {a}^{3} + 3 {a}^{2} + 4$

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