Datrys (x+5)^2+2(x+5)(y-1)+(y-1)^2

$$( x + 5 ) ^ { 2 } + 2 ( x + 5 ) ( y - 1 ) + ( y - 1 ) ^ { 2 }$$

Enrhifo

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

Camau Ateb

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

$$x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}$$

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

$$x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 2x+10 â y-1.

$$x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}$$

Cyfuno 10x a -2x i gael 8x.

$$x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}$$

Tynnu 10 o 25 i gael 15.

$$x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(y-1\right)^{2}.

$$x^{2}+8x+15+2xy+10y+y^{2}-2y+1$$

Cyfuno 10y a -2y i gael 8y.

$$x^{2}+8x+15+2xy+8y+y^{2}+1$$

Adio 15 a 1 i gael 16.

$$x^{2}+8x+16+2xy+8y+y^{2}$$

Ehangu

$$x^{2}+2xy+8x+y^{2}+8y+16$$

Camau Ateb

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

$$x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}$$

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

$$x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 2x+10 â y-1.

$$x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}$$

Cyfuno 10x a -2x i gael 8x.

$$x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}$$

Tynnu 10 o 25 i gael 15.

$$x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(y-1\right)^{2}.

$$x^{2}+8x+15+2xy+10y+y^{2}-2y+1$$

Cyfuno 10y a -2y i gael 8y.

$$x^{2}+8x+15+2xy+8y+y^{2}+1$$

Adio 15 a 1 i gael 16.

$$x^{2}+8x+16+2xy+8y+y^{2}$$