Whakaoti i te a^{2}m^{2}-b^{2}m^{2}-a^2n^2+b^2n^2=

$$a ^ { 2 } m ^ { 2 } - b ^ { 2 } m ^ { 2 } - a ^ { 2 } n ^ { 2 } + b ^ { 2 } n ^ { 2 } =$$

Tauwehe

$$\left(a-b\right)\left(m-n\right)\left(a+b\right)\left(m+n\right)$$

Ngā Upane Otinga

Mahia te whakarōpūtanga a^{2}m^{2}-b^{2}m^{2}-a^{2}n^{2}+b^{2}n^{2}=\left(a^{2}m^{2}-b^{2}m^{2}\right)+\left(-a^{2}n^{2}+b^{2}n^{2}\right), ka whakatauwehea atu m^{2} i te tuatahi me -n^{2} i te rōpū tuarua.

$$m^{2}\left(a^{2}-b^{2}\right)-n^{2}\left(a^{2}-b^{2}\right)$$

Whakatauwehea atu te kīanga pātahi a^{2}-b^{2} mā te whakamahi i te āhuatanga tātai tohatoha.

$$\left(a^{2}-b^{2}\right)\left(m^{2}-n^{2}\right)$$

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

$$\left(a-b\right)\left(a+b\right)$$

Whakaarohia te m^{2}-n^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$\left(a-b\right)\left(a+b\right)\left(m-n\right)\left(m+n\right)$$

Aromātai

$$\left(a^{2}-b^{2}\right)\left(m^{2}-n^{2}\right)$$