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

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

Enrhifo

$$x^{2}-6x+1$$

Camau Ateb

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 2 â x^{2}-2x+1.

$$2x^{2}-4x+2-1\left(x+1\right)^{2}$$

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

$$2x^{2}-4x+2-\left(x^{2}+2x+1\right)$$

I ddod o hyd i wrthwyneb x^{2}+2x+1, dewch o hyd i wrthwyneb pob term.

$$2x^{2}-4x+2-x^{2}-2x-1$$

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

$$x^{2}-4x+2-2x-1$$

Cyfuno -4x a -2x i gael -6x.

$$x^{2}-6x+2-1$$

Tynnu 1 o 2 i gael 1.

$$x^{2}-6x+1$$

Ehangu

$$x^{2}-6x+1$$

Camau Ateb

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 2 â x^{2}-2x+1.

$$2x^{2}-4x+2-1\left(x+1\right)^{2}$$

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

$$2x^{2}-4x+2-\left(x^{2}+2x+1\right)$$

I ddod o hyd i wrthwyneb x^{2}+2x+1, dewch o hyd i wrthwyneb pob term.

$$2x^{2}-4x+2-x^{2}-2x-1$$

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

$$x^{2}-4x+2-2x-1$$

Cyfuno -4x a -2x i gael -6x.

$$x^{2}-6x+2-1$$

Tynnu 1 o 2 i gael 1.

$$x^{2}-6x+1$$