Basic Math Examples

$(5 y - 2) \cdot (y + 4) + 4 (y + 4)$

Step 1

Simplify each term.

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Step 1.1

Expand $(5 y - 2) (y + 4)$ using the FOIL Method.

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Step 1.1.1

Apply the distributive property.

$5 y (y + 4) - 2 (y + 4) + 4 (y + 4)$

Step 1.1.2

Apply the distributive property.

$5 y \cdot y + 5 y \cdot 4 - 2 (y + 4) + 4 (y + 4)$

Step 1.1.3

Apply the distributive property.

$5 y \cdot y + 5 y \cdot 4 - 2 y - 2 \cdot 4 + 4 (y + 4)$

Step 1.2

Simplify and combine like terms.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

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

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Step 1.2.1.1.1

Move $y$ .

$5 (y \cdot y) + 5 y \cdot 4 - 2 y - 2 \cdot 4 + 4 (y + 4)$

Step 1.2.1.1.2

Multiply $y$ by $y$ .

$5 y^{2} + 5 y \cdot 4 - 2 y - 2 \cdot 4 + 4 (y + 4)$

Step 1.2.1.2

Multiply $4$ by $5$ .

$5 y^{2} + 20 y - 2 y - 2 \cdot 4 + 4 (y + 4)$

Step 1.2.1.3

Multiply $- 2$ by $4$ .

$5 y^{2} + 20 y - 2 y - 8 + 4 (y + 4)$

Step 1.2.2

Subtract $2 y$ from $20 y$ .

$5 y^{2} + 18 y - 8 + 4 (y + 4)$

Step 1.3

Apply the distributive property.

$5 y^{2} + 18 y - 8 + 4 y + 4 \cdot 4$

Step 1.4

Multiply $4$ by $4$ .

$5 y^{2} + 18 y - 8 + 4 y + 16$

Step 2

Simplify by adding terms.

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Step 2.1

Add $18 y$ and $4 y$ .

$5 y^{2} + 22 y - 8 + 16$

Step 2.2

Add $- 8$ and $16$ .

$5 y^{2} + 22 y + 8$