Solve 15y^2-14y-y+3y+8y^2-7y+9y^2

$$15 y ^ { 2 } - 14 y - y + 3 y + 8 y ^ { 2 } - 7 y + 9 y ^ { 2 }$$

Evaluate

$$y\left(32y-19\right)$$

Solution Steps

Combine -14y and -y to get -15y.

$$15y^{2}-15y+3y+8y^{2}-7y+9y^{2}$$

Combine -15y and 3y to get -12y.

$$15y^{2}-12y+8y^{2}-7y+9y^{2}$$

Combine 15y^{2} and 8y^{2} to get 23y^{2}.

$$23y^{2}-12y-7y+9y^{2}$$

Combine -12y and -7y to get -19y.

$$23y^{2}-19y+9y^{2}$$

Combine 23y^{2} and 9y^{2} to get 32y^{2}.

$$32y^{2}-19y$$

Factor

$$y\left(32y-19\right)$$

Solution Steps

Factor out y.

$$y\left(32y-19\right)$$

Consider 15y-14-1+3+8y-7+9y. Multiply and combine like terms.

$$32y-19$$

Rewrite the complete factored expression.

$$y\left(32y-19\right)$$