Whakaoti i te (m+n)^2-(2m+n)^2+(m-9n)^2

$$( m + n ) ^ { 2 } - ( 2 m + n ) ^ { 2 } + ( m - 9 n ) ^ { 2 }$$

Aromātai

$$81n^{2}-20mn-2m^{2}$$

Ngā Upane Otinga

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

$$m^{2}+2mn+n^{2}-\left(2m+n\right)^{2}+\left(m-9n\right)^{2}$$

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

$$m^{2}+2mn+n^{2}-\left(4m^{2}+4mn+n^{2}\right)+\left(m-9n\right)^{2}$$

Hei kimi i te tauaro o 4m^{2}+4mn+n^{2}, kimihia te tauaro o ia taurangi.

$$m^{2}+2mn+n^{2}-4m^{2}-4mn-n^{2}+\left(m-9n\right)^{2}$$

Pahekotia te m^{2} me -4m^{2}, ka -3m^{2}.

$$-3m^{2}+2mn+n^{2}-4mn-n^{2}+\left(m-9n\right)^{2}$$

Pahekotia te 2mn me -4mn, ka -2mn.

$$-3m^{2}-2mn+n^{2}-n^{2}+\left(m-9n\right)^{2}$$

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

$$-3m^{2}-2mn+\left(m-9n\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(m-9n\right)^{2}.

$$-3m^{2}-2mn+m^{2}-18mn+81n^{2}$$

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

$$-2m^{2}-2mn-18mn+81n^{2}$$

Pahekotia te -2mn me -18mn, ka -20mn.

$$-2m^{2}-20mn+81n^{2}$$

Whakaroha

$$81n^{2}-20mn-2m^{2}$$

Ngā Upane Otinga

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

$$m^{2}+2mn+n^{2}-\left(2m+n\right)^{2}+\left(m-9n\right)^{2}$$

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

$$m^{2}+2mn+n^{2}-\left(4m^{2}+4mn+n^{2}\right)+\left(m-9n\right)^{2}$$

Hei kimi i te tauaro o 4m^{2}+4mn+n^{2}, kimihia te tauaro o ia taurangi.

$$m^{2}+2mn+n^{2}-4m^{2}-4mn-n^{2}+\left(m-9n\right)^{2}$$

Pahekotia te m^{2} me -4m^{2}, ka -3m^{2}.

$$-3m^{2}+2mn+n^{2}-4mn-n^{2}+\left(m-9n\right)^{2}$$

Pahekotia te 2mn me -4mn, ka -2mn.

$$-3m^{2}-2mn+n^{2}-n^{2}+\left(m-9n\right)^{2}$$

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

$$-3m^{2}-2mn+\left(m-9n\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(m-9n\right)^{2}.

$$-3m^{2}-2mn+m^{2}-18mn+81n^{2}$$

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

$$-2m^{2}-2mn-18mn+81n^{2}$$

Pahekotia te -2mn me -18mn, ka -20mn.

$$-2m^{2}-20mn+81n^{2}$$