Simplify (6x-9-2x)(8+5x-5)

$(6 x - 9 - 2 x) (8 + 5 x - 5)$

Step 1

Simplify by adding terms.

Subtract $2 x$ from $6 x$ .

$(4 x - 9) (8 + 5 x - 5)$

Subtract $5$ from $8$ .

$(4 x - 9) (5 x + 3)$

Step 2

Expand $(4 x - 9) (5 x + 3)$ using the FOIL Method.

Apply the distributive property.

$4 x (5 x + 3) - 9 (5 x + 3)$

Apply the distributive property.

$4 x (5 x) + 4 x \cdot 3 - 9 (5 x + 3)$

Apply the distributive property.

$4 x (5 x) + 4 x \cdot 3 - 9 (5 x) - 9 \cdot 3$

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 5 x \cdot x + 4 x \cdot 3 - 9 (5 x) - 9 \cdot 3$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 \cdot 5 (x \cdot x) + 4 x \cdot 3 - 9 (5 x) - 9 \cdot 3$

Multiply $x$ by $x$ .

$4 \cdot 5 x^{2} + 4 x \cdot 3 - 9 (5 x) - 9 \cdot 3$

Multiply $4$ by $5$ .

$20 x^{2} + 4 x \cdot 3 - 9 (5 x) - 9 \cdot 3$

Multiply $3$ by $4$ .

$20 x^{2} + 12 x - 9 (5 x) - 9 \cdot 3$

Multiply $5$ by $- 9$ .

$20 x^{2} + 12 x - 45 x - 9 \cdot 3$

Multiply $- 9$ by $3$ .

$20 x^{2} + 12 x - 45 x - 27$

Subtract $45 x$ from $12 x$ .

$20 x^{2} - 33 x - 27$