Whakaoti i te (m-2)^3-(m+1)^3-9(m-m^2-1)

$$( m - 2 ) ^ { 3 } - ( m + 1 ) ^ { 3 } - 9 ( m - m ^ { 2 } - 1 )$$

Aromātai

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Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(m-2\right)^{3}.

$$m^{3}-6m^{2}+12m-8-\left(m+1\right)^{3}-9\left(m-m^{2}-1\right)$$

Whakamahia te ture huarua \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} hei whakaroha \left(m+1\right)^{3}.

$$m^{3}-6m^{2}+12m-8-\left(m^{3}+3m^{2}+3m+1\right)-9\left(m-m^{2}-1\right)$$

Hei kimi i te tauaro o m^{3}+3m^{2}+3m+1, kimihia te tauaro o ia taurangi.

$$m^{3}-6m^{2}+12m-8-m^{3}-3m^{2}-3m-1-9\left(m-m^{2}-1\right)$$

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

$$-6m^{2}+12m-8-3m^{2}-3m-1-9\left(m-m^{2}-1\right)$$

Pahekotia te -6m^{2} me -3m^{2}, ka -9m^{2}.

$$-9m^{2}+12m-8-3m-1-9\left(m-m^{2}-1\right)$$

Pahekotia te 12m me -3m, ka 9m.

$$-9m^{2}+9m-8-1-9\left(m-m^{2}-1\right)$$

Tangohia te 1 i te -8, ka -9.

$$-9m^{2}+9m-9-9\left(m-m^{2}-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -9 ki te m-m^{2}-1.

$$-9m^{2}+9m-9-9m+9m^{2}+9$$

Pahekotia te 9m me -9m, ka 0.

$$-9m^{2}-9+9m^{2}+9$$

Pahekotia te -9m^{2} me 9m^{2}, ka 0.

$$-9+9$$

Tāpirihia te -9 ki te 9, ka 0.

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Tauwehe

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