Datrys (x-2y)^2-(x-y)(x-y)-2y^2

$$( x - 2 y ) ^ { 2 } - ( x - y ) ( x - y ) - 2 y ^ { 2 }$$

Enrhifo

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

Camau Ateb

Lluosi x-y a x-y i gael \left(x-y\right)^{2}.

$$\left(x-2y\right)^{2}-\left(x-y\right)^{2}-2y^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-2y\right)^{2}.

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

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-y\right)^{2}.

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

I ddod o hyd i wrthwyneb x^{2}-2xy+y^{2}, dewch o hyd i wrthwyneb pob term.

$$x^{2}-4xy+4y^{2}-x^{2}+2xy-y^{2}-2y^{2}$$

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

$$-4xy+4y^{2}+2xy-y^{2}-2y^{2}$$

Cyfuno -4xy a 2xy i gael -2xy.

$$-2xy+4y^{2}-y^{2}-2y^{2}$$

Cyfuno 4y^{2} a -y^{2} i gael 3y^{2}.

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

Cyfuno 3y^{2} a -2y^{2} i gael y^{2}.

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

Ehangu

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

Camau Ateb

Lluosi x-y a x-y i gael \left(x-y\right)^{2}.

$$\left(x-2y\right)^{2}-\left(x-y\right)^{2}-2y^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-2y\right)^{2}.

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

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-y\right)^{2}.

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

I ddod o hyd i wrthwyneb x^{2}-2xy+y^{2}, dewch o hyd i wrthwyneb pob term.

$$x^{2}-4xy+4y^{2}-x^{2}+2xy-y^{2}-2y^{2}$$

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

$$-4xy+4y^{2}+2xy-y^{2}-2y^{2}$$

Cyfuno -4xy a 2xy i gael -2xy.

$$-2xy+4y^{2}-y^{2}-2y^{2}$$

Cyfuno 4y^{2} a -y^{2} i gael 3y^{2}.

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

Cyfuno 3y^{2} a -2y^{2} i gael y^{2}.

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