Whakaoti i te {l}{(-m+6)^2}{-(m-6)^2}

$$\left. \begin{array} { l } { ( - m + 6 ) ^ { 2 } } \\ { - ( m - 6 ) ^ { 2 } } \end{array} \right.$$

Aromātai

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Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(-m+6\right)^{2}.

$$\left(-m\right)^{2}+12\left(-m\right)+36-\left(m-6\right)^{2}$$

Tātaihia te -m mā te pū o 2, kia riro ko m^{2}.

$$m^{2}+12\left(-m\right)+36-\left(m-6\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(m-6\right)^{2}.

$$m^{2}+12\left(-m\right)+36-\left(m^{2}-12m+36\right)$$

Hei kimi i te tauaro o m^{2}-12m+36, kimihia te tauaro o ia taurangi.

$$m^{2}+12\left(-m\right)+36-m^{2}+12m-36$$

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

$$12\left(-m\right)+36+12m-36$$

Tangohia te 36 i te 36, ka 0.

$$12\left(-m\right)+12m$$

Whakareatia te 12 ki te -1, ka -12.

$$-12m+12m$$

Pahekotia te -12m me 12m, ka 0.

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Tauwehe

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Ngā Upane Otinga

Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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Whakaarohia te -2m+12. Tauwehea te 2.

$$2\left(-m+6\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Whakarūnātia.

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