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

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

Evalwa

$$-2\left(y+1\right)\left(y+6\right)$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika -3 b'4+4y+y^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika y b'y-2.

$$-12-12y-3y^{2}+y^{2}-2y$$

Ikkombina -3y^{2} u y^{2} biex tikseb -2y^{2}.

$$-12-12y-2y^{2}-2y$$

Ikkombina -12y u -2y biex tikseb -14y.

$$-12-14y-2y^{2}$$

Espandi

$$-2y^{2}-14y-12$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika -3 b'4+4y+y^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika y b'y-2.

$$-12-12y-3y^{2}+y^{2}-2y$$

Ikkombina -3y^{2} u y^{2} biex tikseb -2y^{2}.

$$-12-12y-2y^{2}-2y$$

Ikkombina -12y u -2y biex tikseb -14y.

$$-12-14y-2y^{2}$$