Basic Math Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 1 - b (b - 1)$

Step 3

Move $- 1$ to the left of $a$ .

$a^{2} - 1 a - b (b - 1)$

Step 4

Rewrite $- 1 a$ as $- a$ .

$a^{2} - a - b (b - 1)$

Step 5

Apply the distributive property.

$a^{2} - a - b \cdot b - b \cdot - 1$

Step 6

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

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Step 6.1

Move $b$ .

$a^{2} - a - (b \cdot b) - b \cdot - 1$

Step 6.2

Multiply $b$ by $b$ .

$a^{2} - a - b^{2} - b \cdot - 1$

$a^{2} - a - b^{2} - b \cdot - 1$

Step 7

Multiply $- b \cdot - 1$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

$a^{2} - a - b^{2} + 1 b$

Step 7.2

Multiply $b$ by $1$ .

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

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

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