Simplify (5w-6)(2w+7)

$(5 w - 6) (2 w + 7)$

Step 1

Expand $(5 w - 6) (2 w + 7)$ using the FOIL Method.

Apply the distributive property.

$5 w (2 w + 7) - 6 (2 w + 7)$

Apply the distributive property.

$5 w (2 w) + 5 w \cdot 7 - 6 (2 w + 7)$

Apply the distributive property.

$5 w (2 w) + 5 w \cdot 7 - 6 (2 w) - 6 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 2 w \cdot w + 5 w \cdot 7 - 6 (2 w) - 6 \cdot 7$

Multiply $w$ by $w$ by adding the exponents.

Move $w$ .

$5 \cdot 2 (w \cdot w) + 5 w \cdot 7 - 6 (2 w) - 6 \cdot 7$

Multiply $w$ by $w$ .

$5 \cdot 2 w^{2} + 5 w \cdot 7 - 6 (2 w) - 6 \cdot 7$

Multiply $5$ by $2$ .

$10 w^{2} + 5 w \cdot 7 - 6 (2 w) - 6 \cdot 7$

Multiply $7$ by $5$ .

$10 w^{2} + 35 w - 6 (2 w) - 6 \cdot 7$

Multiply $2$ by $- 6$ .

$10 w^{2} + 35 w - 12 w - 6 \cdot 7$

Multiply $- 6$ by $7$ .

$10 w^{2} + 35 w - 12 w - 42$

Subtract $12 w$ from $35 w$ .

$10 w^{2} + 23 w - 42$