Simplify (x+h)^4 - MathMaster

${(x + h)}^{4}$

Use the Binomial Theorem.

$x^{4} + 4 x^{3} h + 6 x^{2} h^{2} + 4 x h^{3} + h^{4}$

Simplify the expression.

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Move $x^{3}$ .

$x^{4} + 4 h x^{3} + 6 x^{2} h^{2} + 4 x h^{3} + h^{4}$

Move $x^{2}$ .

$x^{4} + 4 h x^{3} + 6 h^{2} x^{2} + 4 x h^{3} + h^{4}$

Move $x$ .

$x^{4} + 4 h x^{3} + 6 h^{2} x^{2} + 4 h^{3} x + h^{4}$

Move $x^{4}$ .

$4 h x^{3} + 6 h^{2} x^{2} + 4 h^{3} x + h^{4} + x^{4}$

Move $4 h x^{3}$ .

$6 h^{2} x^{2} + 4 h^{3} x + h^{4} + 4 h x^{3} + x^{4}$

Move $6 h^{2} x^{2}$ .

$4 h^{3} x + h^{4} + 6 h^{2} x^{2} + 4 h x^{3} + x^{4}$

Reorder $4 h^{3} x$ and $h^{4}$ .

$h^{4} + 4 h^{3} x + 6 h^{2} x^{2} + 4 h x^{3} + x^{4}$

Simplify (x+h)^4

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