Basic Math Examples

$(a - b) (a + b) - {(a - b)}^{2}$

Step 1

Factor $a - b$ out of $(a - b) (a + b) - {(a - b)}^{2}$ .

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Step 1.1

Factor $a - b$ out of $- {(a - b)}^{2}$ .

$(a - b) (a + b) + (a - b) (- (a - b))$

Step 1.2

Factor $a - b$ out of $(a - b) (a + b) + (a - b) (- (a - b))$ .

$(a - b) (a + b - (a - b))$

Step 2

Apply the distributive property.

$(a - b) (a + b - a - - b)$

Step 3

Multiply $- - b$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$(a - b) (a + b - a + 1 b)$

Step 3.2

Multiply $b$ by $1$ .

$(a - b) (a + b - a + b)$

Step 4

Subtract $a$ from $a$ .

$(a - b) (b + 0 + b)$

Step 5

Add $b$ and $0$ .

$(a - b) (b + b)$

Step 6

Factor.

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Step 6.1

Add $b$ and $b$ .

$(a - b) (2 b)$

Step 6.2

Remove unnecessary parentheses.

$(a - b) \cdot 2 b$