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

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

Enrhifo

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

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 2x-5y.

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

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 4x-10y gan bob 3x+4y.

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

Cyfuno 16xy a -30yx i gael -14xy.

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

Defnyddio’r briodwedd ddosbarthu i luosi -6 â 2x-5y.

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

Cyfrifwch y briodoledd ddosrannol drwy luosi pob -12x+30y gan bob x-y.

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

Cyfuno 12xy a 30yx i gael 42xy.

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

Cyfuno 12x^{2} a -12x^{2} i gael 0.

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

Cyfuno -14xy a 42xy i gael 28xy.

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

Cyfuno -40y^{2} a -30y^{2} i gael -70y^{2}.

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

Ehangu

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

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 2x-5y.

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

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 4x-10y gan bob 3x+4y.

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

Cyfuno 16xy a -30yx i gael -14xy.

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

Defnyddio’r briodwedd ddosbarthu i luosi -6 â 2x-5y.

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

Cyfrifwch y briodoledd ddosrannol drwy luosi pob -12x+30y gan bob x-y.

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

Cyfuno 12xy a 30yx i gael 42xy.

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

Cyfuno 12x^{2} a -12x^{2} i gael 0.

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

Cyfuno -14xy a 42xy i gael 28xy.

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

Cyfuno -40y^{2} a -30y^{2} i gael -70y^{2}.

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