Calculate: 2x(12-7x)(2x-1)

Evaluate: $2x\left(12-7x\right)\left(2x-1\right)$

Use the distributive property to multiply $8x-5$ by $x^{2}+6x$ and combine like terms.

$$8x^{3}+43x^{2}-30x-\left(9x+2\right)\left(4x^{2}-3x\right)$$

Use the distributive property to multiply $9x+2$ by $4x^{2}-3x$ and combine like terms.

$$8x^{3}+43x^{2}-30x-\left(36x^{3}-19x^{2}-6x\right)$$

To find the opposite of $36x^{3}-19x^{2}-6x$, find the opposite of each term.

$$8x^{3}+43x^{2}-30x-36x^{3}+19x^{2}+6x$$

Combine $8x^{3}$ and $-36x^{3}$ to get $-28x^{3}$.

$$-28x^{3}+43x^{2}-30x+19x^{2}+6x$$

Combine $43x^{2}$ and $19x^{2}$ to get $62x^{2}$.

$$-28x^{3}+62x^{2}-30x+6x$$

Combine $-30x$ and $6x$ to get $-24x$.

$$-28x^{3}+62x^{2}-24x$$