Precalculus Examples

$(c - 7) (c - 2)$

Step 1

Expand $(c - 7) (c - 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$c (c - 2) - 7 (c - 2)$

Step 1.2

Apply the distributive property.

$c \cdot c + c \cdot - 2 - 7 (c - 2)$

Step 1.3

Apply the distributive property.

$c \cdot c + c \cdot - 2 - 7 c - 7 \cdot - 2$

$c \cdot c + c \cdot - 2 - 7 c - 7 \cdot - 2$

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 $c$ by $c$ .

$c^{2} + c \cdot - 2 - 7 c - 7 \cdot - 2$

Step 2.1.2

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

$c^{2} - 2 \cdot c - 7 c - 7 \cdot - 2$

Step 2.1.3

Multiply $- 7$ by $- 2$ .

$c^{2} - 2 c - 7 c + 14$

$c^{2} - 2 c - 7 c + 14$

Step 2.2

Subtract $7 c$ from $- 2 c$ .

$c^{2} - 9 c + 14$

$c^{2} - 9 c + 14$

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