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

$$6 x ( x - 1 ) ^ { 2 } - 3 x \cdot ( x + 1 ) ^ { 2 }$$

Aromātai

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-1\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 6x ki te x^{2}-2x+1.

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

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -3x ki te x^{2}+2x+1.

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

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

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

Pahekotia te -12x^{2} me -6x^{2}, ka -18x^{2}.

$$3x^{3}-18x^{2}+6x-3x$$

Pahekotia te 6x me -3x, ka 3x.

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

Whakaroha

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-1\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 6x ki te x^{2}-2x+1.

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

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -3x ki te x^{2}+2x+1.

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

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

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

Pahekotia te -12x^{2} me -6x^{2}, ka -18x^{2}.

$$3x^{3}-18x^{2}+6x-3x$$

Pahekotia te 6x me -3x, ka 3x.

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