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Algebra Examples

(y - 3) (y - 2)

$(y - 3) (y - 2)$

Step 1

Expand

(y - 3) (y - 2)

$(y - 3) (y - 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

y (y - 2) - 3 (y - 2)

$y (y - 2) - 3 (y - 2)$

Step 1.2

Apply the distributive property.

y \cdot y + y \cdot - 2 - 3 (y - 2)

$y \cdot y + y \cdot - 2 - 3 (y - 2)$

Step 1.3

Apply the distributive property.

y \cdot y + y \cdot - 2 - 3 y - 3 \cdot - 2

$y \cdot y + y \cdot - 2 - 3 y - 3 \cdot - 2$

y \cdot y + y \cdot - 2 - 3 y - 3 \cdot - 2

$y \cdot y + y \cdot - 2 - 3 y - 3 \cdot - 2$

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 - 3 y - 3 \cdot - 2

$y^{2} + y \cdot - 2 - 3 y - 3 \cdot - 2$

Step 2.1.2

Move

- 2

$- 2$ to the left of

y

$y$ .

y^{2} - 2 \cdot y - 3 y - 3 \cdot - 2

$y^{2} - 2 \cdot y - 3 y - 3 \cdot - 2$

Step 2.1.3

Multiply

- 3

$- 3$ by

- 2

$- 2$ .

y^{2} - 2 y - 3 y + 6

$y^{2} - 2 y - 3 y + 6$

y^{2} - 2 y - 3 y + 6

$y^{2} - 2 y - 3 y + 6$

Step 2.2

Subtract

3 y

$3 y$ from

- 2 y

$- 2 y$ .

y^{2} - 5 y + 6

$y^{2} - 5 y + 6$

y^{2} - 5 y + 6

$y^{2} - 5 y + 6$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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