Algebra Examples

$(x - 7) (y - 9)$

Step 1

Expand $(x - 7) (y - 9)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (y - 9) - 7 (y - 9)$

Step 1.2

Apply the distributive property.

$x y + x \cdot - 9 - 7 (y - 9)$

Step 1.3

Apply the distributive property.

$x y + x \cdot - 9 - 7 y - 7 \cdot - 9$

$x y + x \cdot - 9 - 7 y - 7 \cdot - 9$

Step 2

Simplify each term.

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Step 2.1

Move $- 9$ to the left of $x$ .

$x y - 9 \cdot x - 7 y - 7 \cdot - 9$

Step 2.2

Multiply $- 7$ by $- 9$ .

$x y - 9 x - 7 y + 63$

$x y - 9 x - 7 y + 63$

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