Issolvi (x+1)(x-1)(x+2)(x-1)

$$(x+1)(x-1)(x+2)(x-1)$$

Evalwa

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

Passi tas-Soluzzjonijiet

Immultiplika x-1 u x-1 biex tikseb \left(x-1\right)^{2}.

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

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x+1 b'kull terminu ta' x^{2}-2x+1.

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

Ikkombina -2x^{2} u x^{2} biex tikseb -x^{2}.

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

Ikkombina x u -2x biex tikseb -x.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x^{3}-x^{2}-x+1 b'kull terminu ta' x+2.

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

Ikkombina 2x^{3} u -x^{3} biex tikseb x^{3}.

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

Ikkombina -2x^{2} u -x^{2} biex tikseb -3x^{2}.

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

Ikkombina -2x u x biex tikseb -x.

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

Espandi

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

Passi tas-Soluzzjonijiet

Immultiplika x-1 u x-1 biex tikseb \left(x-1\right)^{2}.

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

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x+1 b'kull terminu ta' x^{2}-2x+1.

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

Ikkombina -2x^{2} u x^{2} biex tikseb -x^{2}.

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

Ikkombina x u -2x biex tikseb -x.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x^{3}-x^{2}-x+1 b'kull terminu ta' x+2.

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

Ikkombina 2x^{3} u -x^{3} biex tikseb x^{3}.

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

Ikkombina -2x^{2} u -x^{2} biex tikseb -3x^{2}.

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

Ikkombina -2x u x biex tikseb -x.

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