Solve 3y^2-7y-31/(y+4)(y-3)(y-2)

$$\frac { 3 y ^ { 2 } - 7 y - 31 } { ( y + 4 ) ( y - 3 ) ( y - 2 ) }$$

Evaluate

$$\frac{3y^{2}-7y-31}{\left(y-3\right)\left(y-2\right)\left(y+4\right)}$$

Short Solution Steps

Use the distributive property to multiply y+4 by y-3 and combine like terms.

$$\frac{3y^{2}-7y-31}{\left(y^{2}+y-12\right)\left(y-2\right)}$$

Use the distributive property to multiply y^{2}+y-12 by y-2 and combine like terms.

$$\frac{3y^{2}-7y-31}{y^{3}-y^{2}-14y+24}$$

Expand

$$\frac{3y^{2}-7y-31}{\left(y-3\right)\left(y-2\right)\left(y+4\right)}$$

Short Solution Steps

Use the distributive property to multiply y+4 by y-3 and combine like terms.

$$\frac{3y^{2}-7y-31}{\left(y^{2}+y-12\right)\left(y-2\right)}$$

Use the distributive property to multiply y^{2}+y-12 by y-2 and combine like terms.

$$\frac{3y^{2}-7y-31}{y^{3}-y^{2}-14y+24}$$