Issolvi 3left(x-2right)^2-6left(x-1right)*(x+1)

$$3 { \left(x-2 \right) }^{ 2 } -6 \left( x-1 \right) \times (x+1)$$

Evalwa

$$18-12x-3x^{2}$$

Passi tas-Soluzzjonijiet

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

$$3\left(x^{2}-4x+4\right)-6\left(x-1\right)\left(x+1\right)$$

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

$$3x^{2}-12x+12-6\left(x-1\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'x-1.

$$3x^{2}-12x+12+\left(-6x+6\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6x+6 b'x+1 u kkombina termini simili.

$$3x^{2}-12x+12-6x^{2}+6$$

Ikkombina 3x^{2} u -6x^{2} biex tikseb -3x^{2}.

$$-3x^{2}-12x+12+6$$

Żid 12 u 6 biex tikseb 18.

$$-3x^{2}-12x+18$$

Espandi

$$18-12x-3x^{2}$$

Passi tas-Soluzzjonijiet

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

$$3\left(x^{2}-4x+4\right)-6\left(x-1\right)\left(x+1\right)$$

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

$$3x^{2}-12x+12-6\left(x-1\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'x-1.

$$3x^{2}-12x+12+\left(-6x+6\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6x+6 b'x+1 u kkombina termini simili.

$$3x^{2}-12x+12-6x^{2}+6$$

Ikkombina 3x^{2} u -6x^{2} biex tikseb -3x^{2}.

$$-3x^{2}-12x+12+6$$

Żid 12 u 6 biex tikseb 18.

$$-3x^{2}-12x+18$$