Simplify (3m-1)(8m+7)

$(3 m - 1) (8 m + 7)$

Step 1

Expand $(3 m - 1) (8 m + 7)$ using the FOIL Method.

Apply the distributive property.

$3 m (8 m + 7) - 1 (8 m + 7)$

Apply the distributive property.

$3 m (8 m) + 3 m \cdot 7 - 1 (8 m + 7)$

Apply the distributive property.

$3 m (8 m) + 3 m \cdot 7 - 1 (8 m) - 1 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 8 m \cdot m + 3 m \cdot 7 - 1 (8 m) - 1 \cdot 7$

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

Move $m$ .

$3 \cdot 8 (m \cdot m) + 3 m \cdot 7 - 1 (8 m) - 1 \cdot 7$

Multiply $m$ by $m$ .

$3 \cdot 8 m^{2} + 3 m \cdot 7 - 1 (8 m) - 1 \cdot 7$

Multiply $3$ by $8$ .

$24 m^{2} + 3 m \cdot 7 - 1 (8 m) - 1 \cdot 7$

Multiply $7$ by $3$ .

$24 m^{2} + 21 m - 1 (8 m) - 1 \cdot 7$

Multiply $8$ by $- 1$ .

$24 m^{2} + 21 m - 8 m - 1 \cdot 7$

Multiply $- 1$ by $7$ .

$24 m^{2} + 21 m - 8 m - 7$

Subtract $8 m$ from $21 m$ .

$24 m^{2} + 13 m - 7$