Algebra Examples

$(x - 3) (x - 7)$

Step 1

Expand $(x - 3) (x - 7)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - 7) - 3 (x - 7)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot - 7 - 3 (x - 7)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot - 7 - 3 x - 3 \cdot - 7$

$x \cdot x + x \cdot - 7 - 3 x - 3 \cdot - 7$

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 $x$ by $x$ .

$x^{2} + x \cdot - 7 - 3 x - 3 \cdot - 7$

Step 2.1.2

Move $- 7$ to the left of $x$ .

$x^{2} - 7 \cdot x - 3 x - 3 \cdot - 7$

Step 2.1.3

Multiply $- 3$ by $- 7$ .

$x^{2} - 7 x - 3 x + 21$

$x^{2} - 7 x - 3 x + 21$

Step 2.2

Subtract $3 x$ from $- 7 x$ .

$x^{2} - 10 x + 21$

$x^{2} - 10 x + 21$

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