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

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

Enrhifo

$$4x^{2}$$

Camau Ateb

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

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

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 2x+2y â x-y a chyfuno termau tebyg.

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

Cyfuno x^{2} a 2x^{2} i gael 3x^{2}.

$$3x^{2}+2xy+y^{2}-2y^{2}+\left(x-y\right)^{2}$$

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

$$3x^{2}+2xy-y^{2}+\left(x-y\right)^{2}$$

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

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

Cyfuno 3x^{2} a x^{2} i gael 4x^{2}.

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

Cyfuno 2xy a -2xy i gael 0.

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

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

$$4x^{2}$$

Ehangu

$$4x^{2}$$

Camau Ateb

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

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

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 2x+2y â x-y a chyfuno termau tebyg.

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

Cyfuno x^{2} a 2x^{2} i gael 3x^{2}.

$$3x^{2}+2xy+y^{2}-2y^{2}+\left(x-y\right)^{2}$$

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

$$3x^{2}+2xy-y^{2}+\left(x-y\right)^{2}$$

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

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

Cyfuno 3x^{2} a x^{2} i gael 4x^{2}.

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

Cyfuno 2xy a -2xy i gael 0.

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

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

$$4x^{2}$$