Issolvi quad11x(2+y)-3(x+4y)-(4x+2xy+5)-9(xy+2)

$$\quad 11 x ( 2 + y ) - 3 ( x + 4 y ) - ( 4 x + 2 x y + 5 ) - 9 ( x y + 2 )$$

Evalwa

$$15x-12y-23$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 11x b'2+y.

$$22x+11xy-3\left(x+4y\right)-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'x+4y.

$$22x+11xy-3x-12y-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Ikkombina 22x u -3x biex tikseb 19x.

$$19x+11xy-12y-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Biex issib l-oppost ta' 4x+2xy+5, sib l-oppost ta' kull terminu.

$$19x+11xy-12y-4x-2xy-5-9\left(xy+2\right)$$

Ikkombina 19x u -4x biex tikseb 15x.

$$15x+11xy-12y-2xy-5-9\left(xy+2\right)$$

Ikkombina 11xy u -2xy biex tikseb 9xy.

$$15x+9xy-12y-5-9\left(xy+2\right)$$

Uża l-propjetà distributtiva biex timmultiplika -9 b'xy+2.

$$15x+9xy-12y-5-9xy-18$$

Ikkombina 9xy u -9xy biex tikseb 0.

$$15x-12y-5-18$$

Naqqas 18 minn -5 biex tikseb -23.

$$15x-12y-23$$

Espandi

$$15x-12y-23$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 11x b'2+y.

$$22x+11xy-3\left(x+4y\right)-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'x+4y.

$$22x+11xy-3x-12y-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Ikkombina 22x u -3x biex tikseb 19x.

$$19x+11xy-12y-\left(4x+2xy+5\right)-9\left(xy+2\right)$$

Biex issib l-oppost ta' 4x+2xy+5, sib l-oppost ta' kull terminu.

$$19x+11xy-12y-4x-2xy-5-9\left(xy+2\right)$$

Ikkombina 19x u -4x biex tikseb 15x.

$$15x+11xy-12y-2xy-5-9\left(xy+2\right)$$

Ikkombina 11xy u -2xy biex tikseb 9xy.

$$15x+9xy-12y-5-9\left(xy+2\right)$$

Uża l-propjetà distributtiva biex timmultiplika -9 b'xy+2.

$$15x+9xy-12y-5-9xy-18$$

Ikkombina 9xy u -9xy biex tikseb 0.

$$15x-12y-5-18$$

Naqqas 18 minn -5 biex tikseb -23.

$$15x-12y-23$$