Basic Math Examples

${(y + 5)}^{2} - 36$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(y + 5)}^{2}$ as $(y + 5) (y + 5)$ .

$(y + 5) (y + 5) - 36$

Step 1.2

Expand $(y + 5) (y + 5)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$y (y + 5) + 5 (y + 5) - 36$

Step 1.2.2

Apply the distributive property.

$y \cdot y + y \cdot 5 + 5 (y + 5) - 36$

Step 1.2.3

Apply the distributive property.

$y \cdot y + y \cdot 5 + 5 y + 5 \cdot 5 - 36$

$y \cdot y + y \cdot 5 + 5 y + 5 \cdot 5 - 36$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $y$ by $y$ .

$y^{2} + y \cdot 5 + 5 y + 5 \cdot 5 - 36$

Step 1.3.1.2

Move $5$ to the left of $y$ .

$y^{2} + 5 \cdot y + 5 y + 5 \cdot 5 - 36$

Step 1.3.1.3

Multiply $5$ by $5$ .

$y^{2} + 5 y + 5 y + 25 - 36$

$y^{2} + 5 y + 5 y + 25 - 36$

Step 1.3.2

Add $5 y$ and $5 y$ .

$y^{2} + 10 y + 25 - 36$

$y^{2} + 10 y + 25 - 36$

$y^{2} + 10 y + 25 - 36$

Step 2

Subtract $36$ from $25$ .

$y^{2} + 10 y - 11$

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