Algebra Examples

${(x + h)}^{2} - x^{2}$

Step 1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x + h$ and $b = x$ .

$(x + h + x) (x + h - x)$

Step 2

Simplify.

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Step 2.1

Add $x$ and $x$ .

$(h + 2 x) (x + h - x)$

Step 2.2

Subtract $x$ from $x$ .

$(h + 2 x) (h + 0)$

Step 2.3

Add $h$ and $0$ .

$(h + 2 x) h$