Algebra Examples

${(x + h)}^{3} - x^{3}$

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3} - x^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3} - x^{3}$ .

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Step 2.1.1

Subtract $x^{3}$ from $x^{3}$ .

$3 x^{2} h + 3 x h^{2} + h^{3} + 0$

Step 2.1.2

Add $3 x^{2} h + 3 x h^{2} + h^{3}$ and $0$ .

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

Step 2.2

Reorder.

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Step 2.2.1

Move $x^{2}$ .

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

Step 2.2.2

Move $x$ .

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