Issolvi (x+1)(x-1)(x+3)(x-1)

$$( x + 1 ) ( x - 1 ) ( x + 3 ) ( x - 1 )$$

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

Ikkombina x u -2x biex tikseb -x.

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

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

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

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

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

Ikkombina -3x^{2} u -x^{2} biex tikseb -4x^{2}.

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

Ikkombina -3x u x biex tikseb -2x.

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

Espandi

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

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

Ikkombina x u -2x biex tikseb -x.

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

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

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

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

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

Ikkombina -3x^{2} u -x^{2} biex tikseb -4x^{2}.

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

Ikkombina -3x u x biex tikseb -2x.

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