Whakaoti i te 36a^4+97a^2b^2+36b^4

$$36 { a }^{ 4 } +97 { a }^{ 2 } { b }^{ 2 } +36 { b }^{ 4 }$$

Tauwehe

$$\left(4a^{2}+9b^{2}\right)\left(9a^{2}+4b^{2}\right)$$

Ngā Upane Otinga

Whakaarohia te 36a^{4}+97a^{2}b^{2}+36b^{4} hei pūrau ki runga i te taurangi a.

$$36a^{4}+97b^{2}a^{2}+36b^{4}$$

Kimihia he tauwehe o te āhua ka^{m}+n, e wehea ai e ka^{m} te huatahi me te pū nui rawa 36a^{4}, e wehea hoki e n te tauwehe pūmau 36b^{4}. Ko tētahi tauwehe pērā ko 4a^{2}+9b^{2}. Whakatauwehea te pūrau mā te whakawehe ki tēnei tauwehe.

$$\left(4a^{2}+9b^{2}\right)\left(9a^{2}+4b^{2}\right)$$

Aromātai

$$36a^{4}+36b^{4}+97\left(ab\right)^{2}$$