Whakaoti i te a^2/4-ab+b^2

$$\frac { a ^ { 2 } } { 4 } - a b + b ^ { 2 }$$

Aromātai

$$\frac{\left(a-2b\right)^{2}}{4}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -ab+b^{2} ki te \frac{4}{4}.

$$\frac{a^{2}}{4}+\frac{4\left(-ab+b^{2}\right)}{4}$$

Tā te mea he rite te tauraro o \frac{a^{2}}{4} me \frac{4\left(-ab+b^{2}\right)}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a^{2}+4\left(-ab+b^{2}\right)}{4}$$

Mahia ngā whakarea i roto o a^{2}+4\left(-ab+b^{2}\right).

$$\frac{a^{2}-4ab+4b^{2}}{4}$$

Tauwehe

$$\frac{\left(a-2b\right)^{2}}{4}$$

Ngā Upane Otinga

Tauwehea te \frac{1}{4}.

$$\frac{a^{2}-4ab+4b^{2}}{4}$$

Whakaarohia te a^{2}-4ab+4b^{2}. Whakamahia te tikanga tātai pūrua pā, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, ina p=a, ina q=2b.

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$\frac{\left(a-2b\right)^{2}}{4}$$