Simplify 7m^2+(2m-1)(m+9)

$7 m^{2} + (2 m - 1) (m + 9)$

Simplify each term.

Expand $(2 m - 1) (m + 9)$ using the FOIL Method.

Apply the distributive property.

$7 m^{2} + 2 m (m + 9) - 1 (m + 9)$

Apply the distributive property.

$7 m^{2} + 2 m \cdot m + 2 m \cdot 9 - 1 (m + 9)$

Apply the distributive property.

$7 m^{2} + 2 m \cdot m + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ by adding the exponents.

Move $m$ .

$7 m^{2} + 2 (m \cdot m) + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Multiply $m$ by $m$ .

$7 m^{2} + 2 m^{2} + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Multiply $9$ by $2$ .

$7 m^{2} + 2 m^{2} + 18 m - 1 m - 1 \cdot 9$

Rewrite $- 1 m$ as $- m$ .

$7 m^{2} + 2 m^{2} + 18 m - m - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$7 m^{2} + 2 m^{2} + 18 m - m - 9$

Subtract $m$ from $18 m$ .

$7 m^{2} + 2 m^{2} + 17 m - 9$

Add $7 m^{2}$ and $2 m^{2}$ .

$9 m^{2} + 17 m - 9$