Basic Math Examples

$(3 - y) (3 + y)$

Step 1

Expand $(3 - y) (3 + y)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$3 (3 + y) - y (3 + y)$

Step 1.2

Apply the distributive property.

$3 \cdot 3 + 3 y - y (3 + y)$

Step 1.3

Apply the distributive property.

$3 \cdot 3 + 3 y - y \cdot 3 - y \cdot y$

$3 \cdot 3 + 3 y - y \cdot 3 - y \cdot y$

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 $3$ by $3$ .

$9 + 3 y - y \cdot 3 - y \cdot y$

Step 2.1.2

Multiply $3$ by $- 1$ .

$9 + 3 y - 3 y - y \cdot y$

Step 2.1.3

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1.3.1

Move $y$ .

$9 + 3 y - 3 y - (y \cdot y)$

Step 2.1.3.2

Multiply $y$ by $y$ .

$9 + 3 y - 3 y - y^{2}$

$9 + 3 y - 3 y - y^{2}$

$9 + 3 y - 3 y - y^{2}$

Step 2.2

Subtract $3 y$ from $3 y$ .

$9 + 0 - y^{2}$

Step 2.3

Add $9$ and $0$ .

$9 - y^{2}$

$9 - y^{2}$

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