Simplify 3(5i-4)-2(6i-7)

$3 (5 i - 4) - 2 (6 i - 7)$

Simplify each term.

Apply the distributive property.

$3 (5 i) + 3 \cdot - 4 - 2 (6 i - 7)$

Multiply $5$ by $3$ .

$15 i + 3 \cdot - 4 - 2 (6 i - 7)$

Multiply $3$ by $- 4$ .

$15 i - 12 - 2 (6 i - 7)$

Apply the distributive property.

$15 i - 12 - 2 (6 i) - 2 \cdot - 7$

Multiply $6$ by $- 2$ .

$15 i - 12 - 12 i - 2 \cdot - 7$

Multiply $- 2$ by $- 7$ .

$15 i - 12 - 12 i + 14$

$15 i - 12 - 12 i + 14$

Simplify by adding terms.

Subtract $12 i$ from $15 i$ .

$- 12 + 3 i + 14$

Add $- 12$ and $14$ .

$2 + 3 i$

$2 + 3 i$

Related Questions