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

$$2 ( x - 1 ) ^ { 2 } - 1 ( x + 1 ) ^ { 2 }$$

Evalwa

$$x^{2}-6x+1$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'x^{2}-2x+1.

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

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

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

Biex issib l-oppost ta' x^{2}+2x+1, sib l-oppost ta' kull terminu.

$$2x^{2}-4x+2-x^{2}-2x-1$$

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

$$x^{2}-4x+2-2x-1$$

Ikkombina -4x u -2x biex tikseb -6x.

$$x^{2}-6x+2-1$$

Naqqas 1 minn 2 biex tikseb 1.

$$x^{2}-6x+1$$

Espandi

$$x^{2}-6x+1$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'x^{2}-2x+1.

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

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

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

Biex issib l-oppost ta' x^{2}+2x+1, sib l-oppost ta' kull terminu.

$$2x^{2}-4x+2-x^{2}-2x-1$$

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

$$x^{2}-4x+2-2x-1$$

Ikkombina -4x u -2x biex tikseb -6x.

$$x^{2}-6x+2-1$$

Naqqas 1 minn 2 biex tikseb 1.

$$x^{2}-6x+1$$