Expand $(x + 1)^{3}$ using an identity

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Solution

$(x + 1)^{3}$
We know that $(x + y)^{3} = x^{3} + y^{3} + 3 x y (x + y)$
Here x=x and y=1 we get
$(x + 1)^{3} = x^{3} + (1)^{3} + 3 (x) (1) (x + 1)$
= $x^{3} + 1 + 3 x (x + 1)$
= $x^{3} + 1 + 3 x^{2} + 3 x$
= $x^{3} + 3 x^{2} + 3 x + 1$

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