Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Move $- 1$ to the left of $a^{2}$ .

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

Step 1.3

Rewrite $- 1 a^{2}$ as $- a^{2}$ .

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

Step 1.4

Apply the distributive property.

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

Step 1.5

Multiply $- b^{2} \cdot - 1$ .

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Step 1.5.1

Multiply $- 1$ by $- 1$ .

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

Step 1.5.2

Multiply $b^{2}$ by $1$ .

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

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

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

Step 2

Move $- a^{2}$ .

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

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