Whakaoti i te 3x^2-(x-2)(3x+1)-2(x+1)(x-5)

$$3 x ^ { 2 } - ( x - 2 ) ( 3 x + 1 ) - 2 ( x + 1 ) ( x - 5 )$$

Aromātai

$$12+13x-2x^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te x-2 ki te 3x+1 ka whakakotahi i ngā kupu rite.

$$3x^{2}-\left(3x^{2}-5x-2\right)-2\left(x+1\right)\left(x-5\right)$$

Hei kimi i te tauaro o 3x^{2}-5x-2, kimihia te tauaro o ia taurangi.

$$3x^{2}-3x^{2}+5x+2-2\left(x+1\right)\left(x-5\right)$$

Pahekotia te 3x^{2} me -3x^{2}, ka 0.

$$5x+2-2\left(x+1\right)\left(x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+1.

$$5x+2+\left(-2x-2\right)\left(x-5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -2x-2 ki te x-5 ka whakakotahi i ngā kupu rite.

$$5x+2-2x^{2}+8x+10$$

Pahekotia te 5x me 8x, ka 13x.

$$13x+2-2x^{2}+10$$

Tāpirihia te 2 ki te 10, ka 12.

$$13x+12-2x^{2}$$

Whakaroha

$$12+13x-2x^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te x-2 ki te 3x+1 ka whakakotahi i ngā kupu rite.

$$3x^{2}-\left(3x^{2}-5x-2\right)-2\left(x+1\right)\left(x-5\right)$$

Hei kimi i te tauaro o 3x^{2}-5x-2, kimihia te tauaro o ia taurangi.

$$3x^{2}-3x^{2}+5x+2-2\left(x+1\right)\left(x-5\right)$$

Pahekotia te 3x^{2} me -3x^{2}, ka 0.

$$5x+2-2\left(x+1\right)\left(x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+1.

$$5x+2+\left(-2x-2\right)\left(x-5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -2x-2 ki te x-5 ka whakakotahi i ngā kupu rite.

$$5x+2-2x^{2}+8x+10$$

Pahekotia te 5x me 8x, ka 13x.

$$13x+2-2x^{2}+10$$

Tāpirihia te 2 ki te 10, ka 12.

$$13x+12-2x^{2}$$