Whakaoti i te (m+2n)(m-2n)^2+2mn(m+2n)+(m-2n)(m^2+4n^2+2mn)

$$( m + 2 n ) ( m - 2 n ) ^ { 2 } + 2 m n ( m + 2 n ) + ( m - 2 n ) ( m ^ { 2 } + 4 n ^ { 2 } + 2 m n )$$

Aromātai

$$2m^{3}$$

Ngā Upane Otinga

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

$$\left(m+2n\right)\left(m^{2}-4mn+4n^{2}\right)+2mn\left(m+2n\right)+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te m+2n ki te m^{2}-4mn+4n^{2} ka whakakotahi i ngā kupu rite.

$$m^{3}-2nm^{2}-4mn^{2}+8n^{3}+2mn\left(m+2n\right)+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2mn ki te m+2n.

$$m^{3}-2nm^{2}-4mn^{2}+8n^{3}+2nm^{2}+4mn^{2}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

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

$$m^{3}-4mn^{2}+8n^{3}+4mn^{2}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Pahekotia te -4mn^{2} me 4mn^{2}, ka 0.

$$m^{3}+8n^{3}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te m-2n ki te m^{2}+4n^{2}+2mn ka whakakotahi i ngā kupu rite.

$$m^{3}+8n^{3}+m^{3}-8n^{3}$$

Pahekotia te m^{3} me m^{3}, ka 2m^{3}.

$$2m^{3}+8n^{3}-8n^{3}$$

Pahekotia te 8n^{3} me -8n^{3}, ka 0.

$$2m^{3}$$

Whakaroha

$$2m^{3}$$

Ngā Upane Otinga

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

$$\left(m+2n\right)\left(m^{2}-4mn+4n^{2}\right)+2mn\left(m+2n\right)+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te m+2n ki te m^{2}-4mn+4n^{2} ka whakakotahi i ngā kupu rite.

$$m^{3}-2nm^{2}-4mn^{2}+8n^{3}+2mn\left(m+2n\right)+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2mn ki te m+2n.

$$m^{3}-2nm^{2}-4mn^{2}+8n^{3}+2nm^{2}+4mn^{2}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

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

$$m^{3}-4mn^{2}+8n^{3}+4mn^{2}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Pahekotia te -4mn^{2} me 4mn^{2}, ka 0.

$$m^{3}+8n^{3}+\left(m-2n\right)\left(m^{2}+4n^{2}+2mn\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te m-2n ki te m^{2}+4n^{2}+2mn ka whakakotahi i ngā kupu rite.

$$m^{3}+8n^{3}+m^{3}-8n^{3}$$

Pahekotia te m^{3} me m^{3}, ka 2m^{3}.

$$2m^{3}+8n^{3}-8n^{3}$$

Pahekotia te 8n^{3} me -8n^{3}, ka 0.

$$2m^{3}$$