Datrys 2(5-x)^3-3(5-x)^3

$$2 ( 5 - x ) ^ { 3 } - 3 ( 5 - x ) ^ { 3 }$$

Enrhifo

$$-\left(5-x\right)^{3}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} i ehangu'r \left(5-x\right)^{3}.

$$2\left(125-75x+15x^{2}-x^{3}\right)-3\left(5-x\right)^{3}$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 125-75x+15x^{2}-x^{3}.

$$250-150x+30x^{2}-2x^{3}-3\left(5-x\right)^{3}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} i ehangu'r \left(5-x\right)^{3}.

$$250-150x+30x^{2}-2x^{3}-3\left(125-75x+15x^{2}-x^{3}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -3 â 125-75x+15x^{2}-x^{3}.

$$250-150x+30x^{2}-2x^{3}-375+225x-45x^{2}+3x^{3}$$

Tynnu 375 o 250 i gael -125.

$$-125-150x+30x^{2}-2x^{3}+225x-45x^{2}+3x^{3}$$

Cyfuno -150x a 225x i gael 75x.

$$-125+75x+30x^{2}-2x^{3}-45x^{2}+3x^{3}$$

Cyfuno 30x^{2} a -45x^{2} i gael -15x^{2}.

$$-125+75x-15x^{2}-2x^{3}+3x^{3}$$

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

$$-125+75x-15x^{2}+x^{3}$$

Ehangu

$$x^{3}-15x^{2}+75x-125$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} i ehangu'r \left(5-x\right)^{3}.

$$2\left(125-75x+15x^{2}-x^{3}\right)-3\left(5-x\right)^{3}$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 125-75x+15x^{2}-x^{3}.

$$250-150x+30x^{2}-2x^{3}-3\left(5-x\right)^{3}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} i ehangu'r \left(5-x\right)^{3}.

$$250-150x+30x^{2}-2x^{3}-3\left(125-75x+15x^{2}-x^{3}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -3 â 125-75x+15x^{2}-x^{3}.

$$250-150x+30x^{2}-2x^{3}-375+225x-45x^{2}+3x^{3}$$

Tynnu 375 o 250 i gael -125.

$$-125-150x+30x^{2}-2x^{3}+225x-45x^{2}+3x^{3}$$

Cyfuno -150x a 225x i gael 75x.

$$-125+75x+30x^{2}-2x^{3}-45x^{2}+3x^{3}$$

Cyfuno 30x^{2} a -45x^{2} i gael -15x^{2}.

$$-125+75x-15x^{2}-2x^{3}+3x^{3}$$

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

$$-125+75x-15x^{2}+x^{3}$$