Datrys (x+11)^2+(y-5)^2-(x-y)

$$( x + 11 ) ^ { 2 } + ( y - 5 ) ^ { 2 } - ( x - y )$$

Enrhifo

$$\left(x+11\right)^{2}+\left(y-5\right)^{2}+y-x$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(x+11\right)^{2}.

$$x^{2}+22x+121+\left(y-5\right)^{2}-\left(x-y\right)$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(y-5\right)^{2}.

$$x^{2}+22x+121+y^{2}-10y+25-\left(x-y\right)$$

Adio 121 a 25 i gael 146.

$$x^{2}+22x+146+y^{2}-10y-\left(x-y\right)$$

I ddod o hyd i wrthwyneb x-y, dewch o hyd i wrthwyneb pob term.

$$x^{2}+22x+146+y^{2}-10y-x+y$$

Cyfuno 22x a -x i gael 21x.

$$x^{2}+21x+146+y^{2}-10y+y$$

Cyfuno -10y a y i gael -9y.

$$x^{2}+21x+146+y^{2}-9y$$

Ehangu

$$x^{2}+21x+y^{2}-9y+146$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(x+11\right)^{2}.

$$x^{2}+22x+121+\left(y-5\right)^{2}-\left(x-y\right)$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(y-5\right)^{2}.

$$x^{2}+22x+121+y^{2}-10y+25-\left(x-y\right)$$

Adio 121 a 25 i gael 146.

$$x^{2}+22x+146+y^{2}-10y-\left(x-y\right)$$

I ddod o hyd i wrthwyneb x-y, dewch o hyd i wrthwyneb pob term.

$$x^{2}+22x+146+y^{2}-10y-x+y$$

Cyfuno 22x a -x i gael 21x.

$$x^{2}+21x+146+y^{2}-10y+y$$

Cyfuno -10y a y i gael -9y.

$$x^{2}+21x+146+y^{2}-9y$$