Rešite 2y^2left(y+2right)+13yleft(y+2right)+15left(y+2right)

$$2 { y }^{ 2 } \left( y+2 \right) +13y \left( y+2 \right) +15 \left( y+2 \right)$$

Ovrednoti

$$\left(y+2\right)\left(y+5\right)\left(2y+3\right)$$

Koraki rešitve

Uporabite distributivnost, da pomnožite 2y^{2} s/z y+2.

$$2y^{3}+4y^{2}+13y\left(y+2\right)+15\left(y+2\right)$$

Uporabite distributivnost, da pomnožite 13y s/z y+2.

$$2y^{3}+4y^{2}+13y^{2}+26y+15\left(y+2\right)$$

Združite 4y^{2} in 13y^{2}, da dobite 17y^{2}.

$$2y^{3}+17y^{2}+26y+15\left(y+2\right)$$

Uporabite distributivnost, da pomnožite 15 s/z y+2.

$$2y^{3}+17y^{2}+26y+15y+30$$

Združite 26y in 15y, da dobite 41y.

$$2y^{3}+17y^{2}+41y+30$$

Razširi

$$2y^{3}+17y^{2}+41y+30$$

Koraki rešitve

Uporabite distributivnost, da pomnožite 2y^{2} s/z y+2.

$$2y^{3}+4y^{2}+13y\left(y+2\right)+15\left(y+2\right)$$

Uporabite distributivnost, da pomnožite 13y s/z y+2.

$$2y^{3}+4y^{2}+13y^{2}+26y+15\left(y+2\right)$$

Združite 4y^{2} in 13y^{2}, da dobite 17y^{2}.

$$2y^{3}+17y^{2}+26y+15\left(y+2\right)$$

Uporabite distributivnost, da pomnožite 15 s/z y+2.

$$2y^{3}+17y^{2}+26y+15y+30$$

Združite 26y in 15y, da dobite 41y.

$$2y^{3}+17y^{2}+41y+30$$