Basic Math Examples

$6 {(y + 2)}^{2} - 54$

Step 1

Simplify each term.

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Step 1.1

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

$6 ((y + 2) (y + 2)) - 54$

Step 1.2

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

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Step 1.2.1

Apply the distributive property.

$6 (y (y + 2) + 2 (y + 2)) - 54$

Step 1.2.2

Apply the distributive property.

$6 (y \cdot y + y \cdot 2 + 2 (y + 2)) - 54$

Step 1.2.3

Apply the distributive property.

$6 (y \cdot y + y \cdot 2 + 2 y + 2 \cdot 2) - 54$

$6 (y \cdot y + y \cdot 2 + 2 y + 2 \cdot 2) - 54$

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 $y$ .

$6 (y^{2} + y \cdot 2 + 2 y + 2 \cdot 2) - 54$

Step 1.3.1.2

Move $2$ to the left of $y$ .

$6 (y^{2} + 2 \cdot y + 2 y + 2 \cdot 2) - 54$

Step 1.3.1.3

Multiply $2$ by $2$ .

$6 (y^{2} + 2 y + 2 y + 4) - 54$

$6 (y^{2} + 2 y + 2 y + 4) - 54$

Step 1.3.2

Add $2 y$ and $2 y$ .

$6 (y^{2} + 4 y + 4) - 54$

$6 (y^{2} + 4 y + 4) - 54$

Step 1.4

Apply the distributive property.

$6 y^{2} + 6 (4 y) + 6 \cdot 4 - 54$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $4$ by $6$ .

$6 y^{2} + 24 y + 6 \cdot 4 - 54$

Step 1.5.2

Multiply $6$ by $4$ .

$6 y^{2} + 24 y + 24 - 54$

$6 y^{2} + 24 y + 24 - 54$

$6 y^{2} + 24 y + 24 - 54$

Step 2

Subtract $54$ from $24$ .

$6 y^{2} + 24 y - 30$

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