Trigonometry Examples

$a (a - 2) - b (b - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a \cdot a + a \cdot - 2 - b (b - 2)$

Step 1.2

Multiply $a$ by $a$ .

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

Step 1.3

Move $- 2$ to the left of $a$ .

$a^{2} - 2 \cdot a - b (b - 2)$

Step 1.4

Apply the distributive property.

$a^{2} - 2 a - b \cdot b - b \cdot - 2$

Step 1.5

Multiply $b$ by $b$ by adding the exponents.

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Step 1.5.1

Move $b$ .

$a^{2} - 2 a - (b \cdot b) - b \cdot - 2$

Step 1.5.2

Multiply $b$ by $b$ .

$a^{2} - 2 a - b^{2} - b \cdot - 2$

$a^{2} - 2 a - b^{2} - b \cdot - 2$

Step 1.6

Multiply $- 2$ by $- 1$ .

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

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

Step 2

Move $- 2 a$ .

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$