Expand the Trigonometric Expression (m+2)(m-7)

$(m + 2) (m - 7)$

Step 1

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

Apply the distributive property.

$m (m - 7) + 2 (m - 7)$

Apply the distributive property.

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

Apply the distributive property.

$m \cdot m + m \cdot - 7 + 2 m + 2 \cdot - 7$

$m \cdot m + m \cdot - 7 + 2 m + 2 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ .

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

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

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

Multiply $2$ by $- 7$ .

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

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

Add $- 7 m$ and $2 m$ .

$m^{2} - 5 m - 14$

$m^{2} - 5 m - 14$

Related Questions