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Pre-Algebra Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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

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 $y$ .

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

Step 2.1.2

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

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

Step 2.1.3

Multiply $- 3$ by $- 2$ .

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

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

Step 2.2

Subtract $3 y$ from $- 2 y$ .

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

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

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