Solve {r}{y^2-4y+9}{+3y^2-6y-9}

$$\left. \begin{array} { r } { y ^ { 2 } - 4 y + 9 } \\ { + 3 y ^ { 2 } - 6 y - 9 } \end{array} \right.$$

Evaluate

$$2y\left(2y-5\right)$$

Solution Steps

Combine y^{2} and 3y^{2} to get 4y^{2}.

$$4y^{2}-4y+9-6y-9$$

Combine -4y and -6y to get -10y.

$$4y^{2}-10y+9-9$$

Subtract 9 from 9 to get 0.

$$4y^{2}-10y$$

Factor

$$2y\left(2y-5\right)$$

Solution Steps

Multiply and combine like terms.

$$4y^{2}-10y$$

Factor out 2.

$$2\left(2y^{2}-5y\right)$$

Consider 2y^{2}-5y. Factor out y.

$$y\left(2y-5\right)$$

Rewrite the complete factored expression.

$$2y\left(2y-5\right)$$