Issolvi 3(x+2)^2-(x+4)^2

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

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 3 b'x^{2}+4x+4.

$$3x^{2}+12x+12-\left(x+4\right)^{2}$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+4\right)^{2}.

$$3x^{2}+12x+12-\left(x^{2}+8x+16\right)$$

Biex issib l-oppost ta' x^{2}+8x+16, sib l-oppost ta' kull terminu.

$$3x^{2}+12x+12-x^{2}-8x-16$$

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

$$2x^{2}+12x+12-8x-16$$

Ikkombina 12x u -8x biex tikseb 4x.

$$2x^{2}+4x+12-16$$

Naqqas 16 minn 12 biex tikseb -4.

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

Espandi

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

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 3 b'x^{2}+4x+4.

$$3x^{2}+12x+12-\left(x+4\right)^{2}$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+4\right)^{2}.

$$3x^{2}+12x+12-\left(x^{2}+8x+16\right)$$

Biex issib l-oppost ta' x^{2}+8x+16, sib l-oppost ta' kull terminu.

$$3x^{2}+12x+12-x^{2}-8x-16$$

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

$$2x^{2}+12x+12-8x-16$$

Ikkombina 12x u -8x biex tikseb 4x.

$$2x^{2}+4x+12-16$$

Naqqas 16 minn 12 biex tikseb -4.

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