Whakaoti i te 3left(x-2right)^2-6left(x-1right)*(x+1)

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

Aromātai

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-2\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x^{2}-4x+4.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te x-1.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te -6x+6 ki te x+1 ka whakakotahi i ngā kupu rite.

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

Pahekotia te 3x^{2} me -6x^{2}, ka -3x^{2}.

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

Tāpirihia te 12 ki te 6, ka 18.

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

Whakaroha

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-2\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x^{2}-4x+4.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te x-1.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te -6x+6 ki te x+1 ka whakakotahi i ngā kupu rite.

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

Pahekotia te 3x^{2} me -6x^{2}, ka -3x^{2}.

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

Tāpirihia te 12 ki te 6, ka 18.

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