Issolvi 2(y-1)^2+5(y-1)+3

$$2 ( y - 1 ) ^ { 2 } + 5 ( y - 1 ) + 3$$

Evalwa

$$y\left(2y+1\right)$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(y-1\right)^{2}.

$$2\left(y^{2}-2y+1\right)+5\left(y-1\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'y^{2}-2y+1.

$$2y^{2}-4y+2+5\left(y-1\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 5 b'y-1.

$$2y^{2}-4y+2+5y-5+3$$

Ikkombina -4y u 5y biex tikseb y.

$$2y^{2}+y+2-5+3$$

Naqqas 5 minn 2 biex tikseb -3.

$$2y^{2}+y-3+3$$

Żid -3 u 3 biex tikseb 0.

$$2y^{2}+y$$

Espandi

$$2y^{2}+y$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(y-1\right)^{2}.

$$2\left(y^{2}-2y+1\right)+5\left(y-1\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'y^{2}-2y+1.

$$2y^{2}-4y+2+5\left(y-1\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 5 b'y-1.

$$2y^{2}-4y+2+5y-5+3$$

Ikkombina -4y u 5y biex tikseb y.

$$2y^{2}+y+2-5+3$$

Naqqas 5 minn 2 biex tikseb -3.

$$2y^{2}+y-3+3$$

Żid -3 u 3 biex tikseb 0.

$$2y^{2}+y$$