Issolvi (x-1)^2+(x+2)^2-(x-3)(x+3)-22

$$( x - 1 ) ^ { 2 } + ( x + 2 ) ^ { 2 } - ( x - 3 ) ( x + 3 ) - 22$$

Evalwa

$$\left(x-2\right)\left(x+4\right)$$

Passi tas-Soluzzjonijiet

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

$$x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22$$

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

$$x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22$$

Żid 1 u 4 biex tikseb 5.

$$2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22$$

Ikkunsidra li \left(x-3\right)\left(x+3\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Ikkwadra 3.

$$2x^{2}+2x+5-\left(x^{2}-9\right)-22$$

Biex issib l-oppost ta' x^{2}-9, sib l-oppost ta' kull terminu.

$$2x^{2}+2x+5-x^{2}+9-22$$

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

$$x^{2}+2x+5+9-22$$

Żid 5 u 9 biex tikseb 14.

$$x^{2}+2x+14-22$$

Naqqas 22 minn 14 biex tikseb -8.

$$x^{2}+2x-8$$

Espandi

$$x^{2}+2x-8$$

Passi tas-Soluzzjonijiet

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

$$x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22$$

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

$$x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22$$

Żid 1 u 4 biex tikseb 5.

$$2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22$$

Ikkunsidra li \left(x-3\right)\left(x+3\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Ikkwadra 3.

$$2x^{2}+2x+5-\left(x^{2}-9\right)-22$$

Biex issib l-oppost ta' x^{2}-9, sib l-oppost ta' kull terminu.

$$2x^{2}+2x+5-x^{2}+9-22$$

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

$$x^{2}+2x+5+9-22$$

Żid 5 u 9 biex tikseb 14.

$$x^{2}+2x+14-22$$

Naqqas 22 minn 14 biex tikseb -8.

$$x^{2}+2x-8$$