# How do you expand and simplify 3(2x-1)(5x+4)?

Jun 19, 2016

$3 \left(2 x - 1\right) \left(5 x + 4\right) = 30 {x}^{2} + 9 x - 12$

#### Explanation:

$3 \left(2 x - 1\right) \left(5 x + 4\right)$

= $\left(3 \times 2 x - 3 \times 1\right) \left(5 x + 4\right)$

= $\left(6 x - 3\right) \left(5 x + 4\right)$

= $6 x \left(5 x + 4\right) - 3 \left(5 x + 4\right)$

= $6 x \times 5 x + 6 x \times 4 - 3 \times 5 x - 3 \times 4$

= $30 {x}^{2} + 24 x - 15 x - 12$

= $30 {x}^{2} + 9 x - 12$