Resolver 4y+2/5y^2+9y+4/5y-y^2

$$4 y + \frac { 2 } { 5 } y ^ { 2 } + 9 y + \frac { 4 } { 5 } y - y ^ { 2 }$$

Calcular

$$\frac{3y\left(23-y\right)}{5}$$

Pasos da solución

Combina 4y e 9y para obter 13y.

$$13y+\frac{2}{5}y^{2}+\frac{4}{5}y-y^{2}$$

Combina 13y e \frac{4}{5}y para obter \frac{69}{5}y.

$$\frac{69}{5}y+\frac{2}{5}y^{2}-y^{2}$$

Combina \frac{2}{5}y^{2} e -y^{2} para obter -\frac{3}{5}y^{2}.

$$\frac{69}{5}y-\frac{3}{5}y^{2}$$

Factorizar

$$\frac{3y\left(23-y\right)}{5}$$

Pasos da solución

Factoriza \frac{1}{5}.

$$\frac{20y+2y^{2}+45y+4y-5y^{2}}{5}$$

Considera 20y+2y^{2}+45y+4y-5y^{2}. Factoriza y.

$$y\left(69-3y\right)$$

Considera 20+2y+45+4-5y. Multiplica e combina termos semellantes.

$$-3y+69$$

Considera -3y+69. Factoriza 3.

$$3\left(-y+23\right)$$

Reescribe a expresión factorizada completa.

$$\frac{3y\left(-y+23\right)}{5}$$