Whakaoti i te [5^2(m-n)^2]-(m+n)^2

$$[ 5 ^ { 2 } ( m - n ) ^ { 2 } ] - ( m + n ) ^ { 2 }$$

Aromātai

$$4\left(2m-3n\right)\left(3m-2n\right)$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25\left(m-n\right)^{2}-\left(m+n\right)^{2}$$

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

$$25\left(m^{2}-2mn+n^{2}\right)-\left(m+n\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 25 ki te m^{2}-2mn+n^{2}.

$$25m^{2}-50mn+25n^{2}-\left(m+n\right)^{2}$$

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

$$25m^{2}-50mn+25n^{2}-\left(m^{2}+2mn+n^{2}\right)$$

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

$$25m^{2}-50mn+25n^{2}-m^{2}-2mn-n^{2}$$

Pahekotia te 25m^{2} me -m^{2}, ka 24m^{2}.

$$24m^{2}-50mn+25n^{2}-2mn-n^{2}$$

Pahekotia te -50mn me -2mn, ka -52mn.

$$24m^{2}-52mn+25n^{2}-n^{2}$$

Pahekotia te 25n^{2} me -n^{2}, ka 24n^{2}.

$$24m^{2}-52mn+24n^{2}$$

Whakaroha

$$24m^{2}-52mn+24n^{2}$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25\left(m-n\right)^{2}-\left(m+n\right)^{2}$$

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

$$25\left(m^{2}-2mn+n^{2}\right)-\left(m+n\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 25 ki te m^{2}-2mn+n^{2}.

$$25m^{2}-50mn+25n^{2}-\left(m+n\right)^{2}$$

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

$$25m^{2}-50mn+25n^{2}-\left(m^{2}+2mn+n^{2}\right)$$

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

$$25m^{2}-50mn+25n^{2}-m^{2}-2mn-n^{2}$$

Pahekotia te 25m^{2} me -m^{2}, ka 24m^{2}.

$$24m^{2}-50mn+25n^{2}-2mn-n^{2}$$

Pahekotia te -50mn me -2mn, ka -52mn.

$$24m^{2}-52mn+25n^{2}-n^{2}$$

Pahekotia te 25n^{2} me -n^{2}, ka 24n^{2}.

$$24m^{2}-52mn+24n^{2}$$