Solve (2y^2(2y+1)(y-6)

$$( 2 y ^ { 2 } ( 2 y + 1 ) ( y - 6 )$$

Evaluate

$$2\left(y-6\right)\left(2y+1\right)y^{2}$$

Solution Steps

Use the distributive property to multiply 2y^{2} by 2y+1.

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

Use the distributive property to multiply 4y^{3}+2y^{2} by y-6 and combine like terms.

$$4y^{4}-22y^{3}-12y^{2}$$

Expand

$$4y^{4}-22y^{3}-12y^{2}$$

Solution Steps

Use the distributive property to multiply 2y^{2} by 2y+1.

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

Use the distributive property to multiply 4y^{3}+2y^{2} by y-6 and combine like terms.

$$4y^{4}-22y^{3}-12y^{2}$$