How do you simplify $(x+1)^3$ ?

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Answer 1 · 2017-02-09T19:16:09

$x^3 + 3x^2 + x + 1$

$(x+1)^3 = (x+1)^2(x+1)$
$=(x+1)(x+1)(x+1)$

Then we expand the brackets

$x^2 + 2x + 1 (x+1)$

Finally we multiply out the final bracket

$x^3 + x^2 + 2x^2 + x + 1$

Which is $x^3 + 3x^2 + x + 1$

How do you simplify (x+1)^3(x+1)^3?