Datrys (4)(x^2-3)*(x+1)-(x^2+5)*(x-2)

$$( 4 ) ( x ^ { 2 } - 3 ) \cdot ( x + 1 ) - ( x ^ { 2 } + 5 ) \cdot ( x - 2 )$$

Enrhifo

$$3x^{3}+6x^{2}-17x-2$$

Camau Ateb

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

$$\left(4x^{2}-12\right)\left(x+1\right)-\left(x^{2}+5\right)\left(x-2\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 4x^{2}-12 â x+1.

$$4x^{3}+4x^{2}-12x-12-\left(x^{2}+5\right)\left(x-2\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi x^{2}+5 â x-2.

$$4x^{3}+4x^{2}-12x-12-\left(x^{3}-2x^{2}+5x-10\right)$$

I ddod o hyd i wrthwyneb x^{3}-2x^{2}+5x-10, dewch o hyd i wrthwyneb pob term.

$$4x^{3}+4x^{2}-12x-12-x^{3}+2x^{2}-5x+10$$

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

$$3x^{3}+4x^{2}-12x-12+2x^{2}-5x+10$$

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

$$3x^{3}+6x^{2}-12x-12-5x+10$$

Cyfuno -12x a -5x i gael -17x.

$$3x^{3}+6x^{2}-17x-12+10$$

Adio -12 a 10 i gael -2.

$$3x^{3}+6x^{2}-17x-2$$

Ehangu

$$3x^{3}+6x^{2}-17x-2$$

Camau Ateb

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

$$\left(4x^{2}-12\right)\left(x+1\right)-\left(x^{2}+5\right)\left(x-2\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 4x^{2}-12 â x+1.

$$4x^{3}+4x^{2}-12x-12-\left(x^{2}+5\right)\left(x-2\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi x^{2}+5 â x-2.

$$4x^{3}+4x^{2}-12x-12-\left(x^{3}-2x^{2}+5x-10\right)$$

I ddod o hyd i wrthwyneb x^{3}-2x^{2}+5x-10, dewch o hyd i wrthwyneb pob term.

$$4x^{3}+4x^{2}-12x-12-x^{3}+2x^{2}-5x+10$$

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

$$3x^{3}+4x^{2}-12x-12+2x^{2}-5x+10$$

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

$$3x^{3}+6x^{2}-12x-12-5x+10$$

Cyfuno -12x a -5x i gael -17x.

$$3x^{3}+6x^{2}-17x-12+10$$

Adio -12 a 10 i gael -2.

$$3x^{3}+6x^{2}-17x-2$$