Whakaoti i te 32a^2b^2+16ab^2+2b^2

$$32 a ^ { 2 } b ^ { 2 } + 16 a b ^ { 2 } + 2 b ^ { 2 }$$

Tauwehe

$$2b^{2}\left(4a+1\right)^{2}$$

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(16a^{2}b^{2}+8ab^{2}+b^{2}\right)$$

Whakaarohia te 16a^{2}b^{2}+8ab^{2}+b^{2}. Tauwehea te b^{2}.

$$b^{2}\left(16a^{2}+8a+1\right)$$

Whakaarohia te 16a^{2}+8a+1. Whakamahia te tikanga tātai pūrua pā, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, ina p=4a, ina q=1.

$$\left(4a+1\right)^{2}$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$2b^{2}\left(4a+1\right)^{2}$$

Aromātai

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