Solve 3x(4x-6y^2)+6x(3y^2-2x)

$$3 x ( 4 x - 6 y ^ { 2 } ) + 6 x ( 3 y ^ { 2 } - 2 x )$$

Evaluate

$$0$$

Solution Steps

Use the distributive property to multiply 3x by 4x-6y^{2}.

$$12x^{2}-18xy^{2}+6x\left(3y^{2}-2x\right)$$

Use the distributive property to multiply 6x by 3y^{2}-2x.

$$12x^{2}-18xy^{2}+18xy^{2}-12x^{2}$$

Combine -18xy^{2} and 18xy^{2} to get 0.

$$12x^{2}-12x^{2}$$

Combine 12x^{2} and -12x^{2} to get 0.

$$0$$

Factor

$$0$$

Solution Steps

Factor out common term x by using distributive property.

$$x\left(3\left(4x-6y^{2}\right)+6\left(3y^{2}-2x\right)\right)$$

Consider 3\left(4x-6y^{2}\right)+6\left(3y^{2}-2x\right). Simplify.

$$0$$