Issolvi 2(2x-5y)(3x+4y)-6(2x-5y)(x-y)

$$2 ( 2 x - 5 y ) ( 3 x + 4 y ) - 6 ( 2 x - 5 y ) ( x - y )$$

Evalwa

$$14y\left(2x-5y\right)$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2 b'2x-5y.

$$\left(4x-10y\right)\left(3x+4y\right)-6\left(2x-5y\right)\left(x-y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4x-10y b'kull terminu ta' 3x+4y.

$$12x^{2}+16xy-30yx-40y^{2}-6\left(2x-5y\right)\left(x-y\right)$$

Ikkombina 16xy u -30yx biex tikseb -14xy.

$$12x^{2}-14xy-40y^{2}-6\left(2x-5y\right)\left(x-y\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'2x-5y.

$$12x^{2}-14xy-40y^{2}+\left(-12x+30y\right)\left(x-y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' -12x+30y b'kull terminu ta' x-y.

$$12x^{2}-14xy-40y^{2}-12x^{2}+12xy+30yx-30y^{2}$$

Ikkombina 12xy u 30yx biex tikseb 42xy.

$$12x^{2}-14xy-40y^{2}-12x^{2}+42xy-30y^{2}$$

Ikkombina 12x^{2} u -12x^{2} biex tikseb 0.

$$-14xy-40y^{2}+42xy-30y^{2}$$

Ikkombina -14xy u 42xy biex tikseb 28xy.

$$28xy-40y^{2}-30y^{2}$$

Ikkombina -40y^{2} u -30y^{2} biex tikseb -70y^{2}.

$$28xy-70y^{2}$$

Espandi

$$28xy-70y^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2 b'2x-5y.

$$\left(4x-10y\right)\left(3x+4y\right)-6\left(2x-5y\right)\left(x-y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4x-10y b'kull terminu ta' 3x+4y.

$$12x^{2}+16xy-30yx-40y^{2}-6\left(2x-5y\right)\left(x-y\right)$$

Ikkombina 16xy u -30yx biex tikseb -14xy.

$$12x^{2}-14xy-40y^{2}-6\left(2x-5y\right)\left(x-y\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'2x-5y.

$$12x^{2}-14xy-40y^{2}+\left(-12x+30y\right)\left(x-y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' -12x+30y b'kull terminu ta' x-y.

$$12x^{2}-14xy-40y^{2}-12x^{2}+12xy+30yx-30y^{2}$$

Ikkombina 12xy u 30yx biex tikseb 42xy.

$$12x^{2}-14xy-40y^{2}-12x^{2}+42xy-30y^{2}$$

Ikkombina 12x^{2} u -12x^{2} biex tikseb 0.

$$-14xy-40y^{2}+42xy-30y^{2}$$

Ikkombina -14xy u 42xy biex tikseb 28xy.

$$28xy-40y^{2}-30y^{2}$$

Ikkombina -40y^{2} u -30y^{2} biex tikseb -70y^{2}.

$$28xy-70y^{2}$$