Basic Math Examples

$(y - 2) (y + 1)$

Step 1

Expand $(y - 2) (y + 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$y (y + 1) - 2 (y + 1)$

Step 1.2

Apply the distributive property.

$y \cdot y + y \cdot 1 - 2 (y + 1)$

Step 1.3

Apply the distributive property.

$y \cdot y + y \cdot 1 - 2 y - 2 \cdot 1$

$y \cdot y + y \cdot 1 - 2 y - 2 \cdot 1$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $y$ by $y$ .

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

Step 2.1.2

Multiply $y$ by $1$ .

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

Step 2.1.3

Multiply $- 2$ by $1$ .

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

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

Step 2.2

Subtract $2 y$ from $y$ .

$y^{2} - y - 2$

$y^{2} - y - 2$

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