Solve 4x^2(3x+8)-2x(6x^2+16x)-(2x-1)

$$4 x ^ { 2 } ( 3 x + 8 ) - 2 x ( 6 x ^ { 2 } + 16 x ) - ( 2 x - 1 )$$

Evaluate

$$1-2x$$

Solution Steps

Use the distributive property to multiply 4x^{2} by 3x+8.

$$12x^{3}+32x^{2}-2x\left(6x^{2}+16x\right)-\left(2x-1\right)$$

To find the opposite of 2x-1, find the opposite of each term.

$$12x^{3}+32x^{2}-2x\left(6x^{2}+16x\right)-2x+1$$

Use the distributive property to multiply -2x by 6x^{2}+16x.

$$12x^{3}+32x^{2}-12x^{3}-32x^{2}-2x+1$$

Combine 12x^{3} and -12x^{3} to get 0.

$$32x^{2}-32x^{2}-2x+1$$

Combine 32x^{2} and -32x^{2} to get 0.

$$0-2x+1$$

Add 0 and 1 to get 1.

$$1-2x$$

Expand

$$1-2x$$

Solution Steps

Use the distributive property to multiply 4x^{2} by 3x+8.

$$12x^{3}+32x^{2}-2x\left(6x^{2}+16x\right)-\left(2x-1\right)$$

To find the opposite of 2x-1, find the opposite of each term.

$$12x^{3}+32x^{2}-2x\left(6x^{2}+16x\right)-2x+1$$

Use the distributive property to multiply -2x by 6x^{2}+16x.

$$12x^{3}+32x^{2}-12x^{3}-32x^{2}-2x+1$$

Combine 12x^{3} and -12x^{3} to get 0.

$$32x^{2}-32x^{2}-2x+1$$

Combine 32x^{2} and -32x^{2} to get 0.

$$0-2x+1$$

Add 0 and 1 to get 1.

$$1-2x$$