Basic Math Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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

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

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Step 2.1.1.1

Move $y$ .

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

Step 2.1.1.2

Multiply $y$ by $y$ .

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

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

Step 2.1.2

Multiply $5$ by $4$ .

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

Step 2.1.3

Multiply $- 2$ by $5$ .

$4 y^{2} + 20 y - 2 y - 10$

$4 y^{2} + 20 y - 2 y - 10$

Step 2.2

Subtract $2 y$ from $20 y$ .

$4 y^{2} + 18 y - 10$

$4 y^{2} + 18 y - 10$

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