Basic Math Examples

{(y + 9)}^{2}

${(y + 9)}^{2}$

Step 1

Rewrite

${(y + 9)}^{2}$ as

$(y + 9) (y + 9)$ .

$(y + 9) (y + 9)$

Step 2

Expand

$(y + 9) (y + 9)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$y (y + 9) + 9 (y + 9)$

Step 2.2

Apply the distributive property.

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

Step 2.3

Apply the distributive property.

$y \cdot y + y \cdot 9 + 9 y + 9 \cdot 9$

$y \cdot y + y \cdot 9 + 9 y + 9 \cdot 9$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply

$y$ by

$y$ .

$y^{2} + y \cdot 9 + 9 y + 9 \cdot 9$

Step 3.1.2

Move

$9$ to the left of

$y$ .

$y^{2} + 9 \cdot y + 9 y + 9 \cdot 9$

Step 3.1.3

Multiply

$9$ by

$9$ .

$y^{2} + 9 y + 9 y + 81$

$y^{2} + 9 y + 9 y + 81$

Step 3.2

Add

$9 y$ and

$9 y$ .

$y^{2} + 18 y + 81$

$y^{2} + 18 y + 81$

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