Datrys =2(x+1)^3+4(x+1)^2-3(x+1)+6

$$= 2 ( x + 1 ) ^ { 3 } + 4 ( x + 1 ) ^ { 2 } - 3 ( x + 1 ) + 6$$

Enrhifo

$$2x^{3}+10x^{2}+11x+9$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} i ehangu'r \left(x+1\right)^{3}.

$$2\left(x^{3}+3x^{2}+3x+1\right)+4\left(x+1\right)^{2}-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â x^{3}+3x^{2}+3x+1.

$$2x^{3}+6x^{2}+6x+2+4\left(x+1\right)^{2}-3\left(x+1\right)+6$$

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

$$2x^{3}+6x^{2}+6x+2+4\left(x^{2}+2x+1\right)-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi 4 â x^{2}+2x+1.

$$2x^{3}+6x^{2}+6x+2+4x^{2}+8x+4-3\left(x+1\right)+6$$

Cyfuno 6x^{2} a 4x^{2} i gael 10x^{2}.

$$2x^{3}+10x^{2}+6x+2+8x+4-3\left(x+1\right)+6$$

Cyfuno 6x a 8x i gael 14x.

$$2x^{3}+10x^{2}+14x+2+4-3\left(x+1\right)+6$$

Adio 2 a 4 i gael 6.

$$2x^{3}+10x^{2}+14x+6-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi -3 â x+1.

$$2x^{3}+10x^{2}+14x+6-3x-3+6$$

Cyfuno 14x a -3x i gael 11x.

$$2x^{3}+10x^{2}+11x+6-3+6$$

Tynnu 3 o 6 i gael 3.

$$2x^{3}+10x^{2}+11x+3+6$$

Adio 3 a 6 i gael 9.

$$2x^{3}+10x^{2}+11x+9$$

Ehangu

$$2x^{3}+10x^{2}+11x+9$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} i ehangu'r \left(x+1\right)^{3}.

$$2\left(x^{3}+3x^{2}+3x+1\right)+4\left(x+1\right)^{2}-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â x^{3}+3x^{2}+3x+1.

$$2x^{3}+6x^{2}+6x+2+4\left(x+1\right)^{2}-3\left(x+1\right)+6$$

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

$$2x^{3}+6x^{2}+6x+2+4\left(x^{2}+2x+1\right)-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi 4 â x^{2}+2x+1.

$$2x^{3}+6x^{2}+6x+2+4x^{2}+8x+4-3\left(x+1\right)+6$$

Cyfuno 6x^{2} a 4x^{2} i gael 10x^{2}.

$$2x^{3}+10x^{2}+6x+2+8x+4-3\left(x+1\right)+6$$

Cyfuno 6x a 8x i gael 14x.

$$2x^{3}+10x^{2}+14x+2+4-3\left(x+1\right)+6$$

Adio 2 a 4 i gael 6.

$$2x^{3}+10x^{2}+14x+6-3\left(x+1\right)+6$$

Defnyddio’r briodwedd ddosbarthu i luosi -3 â x+1.

$$2x^{3}+10x^{2}+14x+6-3x-3+6$$

Cyfuno 14x a -3x i gael 11x.

$$2x^{3}+10x^{2}+11x+6-3+6$$

Tynnu 3 o 6 i gael 3.

$$2x^{3}+10x^{2}+11x+3+6$$

Adio 3 a 6 i gael 9.

$$2x^{3}+10x^{2}+11x+9$$