Basic Math Examples

$y (y - 1) + 7 (y - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y \cdot y + y \cdot - 1 + 7 (y - 1)$

Step 1.2

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 1 + 7 (y - 1)$

Step 1.3

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

$y^{2} - 1 \cdot y + 7 (y - 1)$

Step 1.4

Rewrite $- 1 y$ as $- y$ .

$y^{2} - y + 7 (y - 1)$

Step 1.5

Apply the distributive property.

$y^{2} - y + 7 y + 7 \cdot - 1$

Step 1.6

Multiply $7$ by $- 1$ .

$y^{2} - y + 7 y - 7$

$y^{2} - y + 7 y - 7$

Step 2

Add $- y$ and $7 y$ .

$y^{2} + 6 y - 7$

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