Datrys 3(x+2)^2-(x+4)^2

$$3 ( x + 2 ) ^ { 2 } - ( x + 4 ) ^ { 2 }$$

Enrhifo

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

Camau Ateb

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 3 â x^{2}+4x+4.

$$3x^{2}+12x+12-\left(x+4\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(x+4\right)^{2}.

$$3x^{2}+12x+12-\left(x^{2}+8x+16\right)$$

I ddod o hyd i wrthwyneb x^{2}+8x+16, dewch o hyd i wrthwyneb pob term.

$$3x^{2}+12x+12-x^{2}-8x-16$$

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

$$2x^{2}+12x+12-8x-16$$

Cyfuno 12x a -8x i gael 4x.

$$2x^{2}+4x+12-16$$

Tynnu 16 o 12 i gael -4.

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

Ehangu

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

Camau Ateb

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

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

Defnyddio’r briodwedd ddosbarthu i luosi 3 â x^{2}+4x+4.

$$3x^{2}+12x+12-\left(x+4\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(x+4\right)^{2}.

$$3x^{2}+12x+12-\left(x^{2}+8x+16\right)$$

I ddod o hyd i wrthwyneb x^{2}+8x+16, dewch o hyd i wrthwyneb pob term.

$$3x^{2}+12x+12-x^{2}-8x-16$$

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

$$2x^{2}+12x+12-8x-16$$

Cyfuno 12x a -8x i gael 4x.

$$2x^{2}+4x+12-16$$

Tynnu 16 o 12 i gael -4.

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