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

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

Least Common Multiple

$$\left(y+3\right)\left(6y^{2}+9y-2\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$6y^{2}+9y-2=6\left(y-\left(-\frac{1}{12}\sqrt{129}-\frac{3}{4}\right)\right)\left(y-\left(\frac{1}{12}\sqrt{129}-\frac{3}{4}\right)\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$6\left(y+3\right)\left(y-\left(-\frac{\sqrt{129}}{12}-\frac{3}{4}\right)\right)\left(y-\left(\frac{\sqrt{129}}{12}-\frac{3}{4}\right)\right)$$

Expand the expression.

$$6y^{3}+27y^{2}+25y-6$$

Evaluate

$$6y^{2}+9y-2,\ y+3$$