Simplify (c+9)(c-7)

$(c + 9) (c - 7)$

Step 1

Expand $(c + 9) (c - 7)$ using the FOIL Method.

Apply the distributive property.

$c (c - 7) + 9 (c - 7)$

Apply the distributive property.

$c \cdot c + c \cdot - 7 + 9 (c - 7)$

Apply the distributive property.

$c \cdot c + c \cdot - 7 + 9 c + 9 \cdot - 7$

$c \cdot c + c \cdot - 7 + 9 c + 9 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $c$ by $c$ .

$c^{2} + c \cdot - 7 + 9 c + 9 \cdot - 7$

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

$c^{2} - 7 \cdot c + 9 c + 9 \cdot - 7$

Multiply $9$ by $- 7$ .

$c^{2} - 7 c + 9 c - 63$

$c^{2} - 7 c + 9 c - 63$

Add $- 7 c$ and $9 c$ .

$c^{2} + 2 c - 63$

$c^{2} + 2 c - 63$

Related Questions