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Finite Math Examples

(y - 2) (y - 2)

$(y - 2) (y - 2)$

Step 1

Expand

(y - 2) (y - 2)

$(y - 2) (y - 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

y (y - 2) - 2 (y - 2)

$y (y - 2) - 2 (y - 2)$

Step 1.2

Apply the distributive property.

y \cdot y + y \cdot - 2 - 2 (y - 2)

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

Step 1.3

Apply the distributive property.

y \cdot y + y \cdot - 2 - 2 y - 2 \cdot - 2

$y \cdot y + y \cdot - 2 - 2 y - 2 \cdot - 2$

y \cdot y + y \cdot - 2 - 2 y - 2 \cdot - 2

$y \cdot y + y \cdot - 2 - 2 y - 2 \cdot - 2$

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

$y$ by

y

$y$ .

y^{2} + y \cdot - 2 - 2 y - 2 \cdot - 2

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

Step 2.1.2

Move

- 2

$- 2$ to the left of

y

$y$ .

y^{2} - 2 \cdot y - 2 y - 2 \cdot - 2

$y^{2} - 2 \cdot y - 2 y - 2 \cdot - 2$

Step 2.1.3

Multiply

- 2

$- 2$ by

- 2

$- 2$ .

y^{2} - 2 y - 2 y + 4

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

y^{2} - 2 y - 2 y + 4

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

Step 2.2

Subtract

2 y

$2 y$ from

- 2 y

$- 2 y$ .

y^{2} - 4 y + 4

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

y^{2} - 4 y + 4

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

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

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