Datrys (2x-1)*(2x-1)-(x-3)*(x-3)

$$(2x-1) \times (2x-1)-(x-3) \times (x-3)$$

Enrhifo

$$\left(3x-4\right)\left(x+2\right)$$

Camau Ateb

Lluosi 2x-1 a 2x-1 i gael \left(2x-1\right)^{2}.

$$\left(2x-1\right)^{2}-\left(x-3\right)\left(x-3\right)$$

Lluosi x-3 a x-3 i gael \left(x-3\right)^{2}.

$$\left(2x-1\right)^{2}-\left(x-3\right)^{2}$$

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

$$4x^{2}-4x+1-\left(x-3\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-3\right)^{2}.

$$4x^{2}-4x+1-\left(x^{2}-6x+9\right)$$

I ddod o hyd i wrthwyneb x^{2}-6x+9, dewch o hyd i wrthwyneb pob term.

$$4x^{2}-4x+1-x^{2}-\left(-6x\right)-9$$

Gwrthwyneb -6x yw 6x.

$$4x^{2}-4x+1-x^{2}+6x-9$$

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

$$3x^{2}-4x+1+6x-9$$

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

$$3x^{2}+2x+1-9$$

Tynnu 9 o 1 i gael -8.

$$3x^{2}+2x-8$$

Ehangu

$$3x^{2}+2x-8$$

Camau Ateb

Lluosi 2x-1 a 2x-1 i gael \left(2x-1\right)^{2}.

$$\left(2x-1\right)^{2}-\left(x-3\right)\left(x-3\right)$$

Lluosi x-3 a x-3 i gael \left(x-3\right)^{2}.

$$\left(2x-1\right)^{2}-\left(x-3\right)^{2}$$

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

$$4x^{2}-4x+1-\left(x-3\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-3\right)^{2}.

$$4x^{2}-4x+1-\left(x^{2}-6x+9\right)$$

I ddod o hyd i wrthwyneb x^{2}-6x+9, dewch o hyd i wrthwyneb pob term.

$$4x^{2}-4x+1-x^{2}-\left(-6x\right)-9$$

Gwrthwyneb -6x yw 6x.

$$4x^{2}-4x+1-x^{2}+6x-9$$

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

$$3x^{2}-4x+1+6x-9$$

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

$$3x^{2}+2x+1-9$$

Tynnu 9 o 1 i gael -8.

$$3x^{2}+2x-8$$