Simplify (4a-7)(3a-2)

$(4 a - 7) (3 a - 2)$

Step 1

Expand $(4 a - 7) (3 a - 2)$ using the FOIL Method.

Apply the distributive property.

$4 a (3 a - 2) - 7 (3 a - 2)$

Apply the distributive property.

$4 a (3 a) + 4 a \cdot - 2 - 7 (3 a - 2)$

Apply the distributive property.

$4 a (3 a) + 4 a \cdot - 2 - 7 (3 a) - 7 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 3 a \cdot a + 4 a \cdot - 2 - 7 (3 a) - 7 \cdot - 2$

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$4 \cdot 3 (a \cdot a) + 4 a \cdot - 2 - 7 (3 a) - 7 \cdot - 2$

Multiply $a$ by $a$ .

$4 \cdot 3 a^{2} + 4 a \cdot - 2 - 7 (3 a) - 7 \cdot - 2$

Multiply $4$ by $3$ .

$12 a^{2} + 4 a \cdot - 2 - 7 (3 a) - 7 \cdot - 2$

Multiply $- 2$ by $4$ .

$12 a^{2} - 8 a - 7 (3 a) - 7 \cdot - 2$

Multiply $3$ by $- 7$ .

$12 a^{2} - 8 a - 21 a - 7 \cdot - 2$

Multiply $- 7$ by $- 2$ .

$12 a^{2} - 8 a - 21 a + 14$

Subtract $21 a$ from $- 8 a$ .

$12 a^{2} - 29 a + 14$