Whakaoti i te (a-2b)^{2}(a+2b)^2-(a^2+4b^2)^2

$$( a - 2 b ) ^ { 2 } ( a + 2 b ) ^ { 2 } - ( a ^ { 2 } + 4 b ^ { 2 } ) ^ { 2 }$$

Aromātai

$$-16\left(ab\right)^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-2b\right)^{2}.

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

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+2b\right)^{2}.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-4ab+4b^{2} ki te a^{2}+4ab+4b^{2} ka whakakotahi i ngā kupu rite.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{2}+4b^{2}\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a^{2}+4b^{2}\right)^{2}.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(\left(a^{2}\right)^{2}+8a^{2}b^{2}+16\left(b^{2}\right)^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{4}+8a^{2}b^{2}+16\left(b^{2}\right)^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{4}+8a^{2}b^{2}+16b^{4}\right)$$

Hei kimi i te tauaro o a^{4}+8a^{2}b^{2}+16b^{4}, kimihia te tauaro o ia taurangi.

$$a^{4}-8a^{2}b^{2}+16b^{4}-a^{4}-8a^{2}b^{2}-16b^{4}$$

Pahekotia te a^{4} me -a^{4}, ka 0.

$$-8a^{2}b^{2}+16b^{4}-8a^{2}b^{2}-16b^{4}$$

Pahekotia te -8a^{2}b^{2} me -8a^{2}b^{2}, ka -16a^{2}b^{2}.

$$-16a^{2}b^{2}+16b^{4}-16b^{4}$$

Pahekotia te 16b^{4} me -16b^{4}, ka 0.

$$-16a^{2}b^{2}$$

Whakaroha

$$-16\left(ab\right)^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-2b\right)^{2}.

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

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+2b\right)^{2}.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-4ab+4b^{2} ki te a^{2}+4ab+4b^{2} ka whakakotahi i ngā kupu rite.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{2}+4b^{2}\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a^{2}+4b^{2}\right)^{2}.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(\left(a^{2}\right)^{2}+8a^{2}b^{2}+16\left(b^{2}\right)^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{4}+8a^{2}b^{2}+16\left(b^{2}\right)^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$a^{4}-8a^{2}b^{2}+16b^{4}-\left(a^{4}+8a^{2}b^{2}+16b^{4}\right)$$

Hei kimi i te tauaro o a^{4}+8a^{2}b^{2}+16b^{4}, kimihia te tauaro o ia taurangi.

$$a^{4}-8a^{2}b^{2}+16b^{4}-a^{4}-8a^{2}b^{2}-16b^{4}$$

Pahekotia te a^{4} me -a^{4}, ka 0.

$$-8a^{2}b^{2}+16b^{4}-8a^{2}b^{2}-16b^{4}$$

Pahekotia te -8a^{2}b^{2} me -8a^{2}b^{2}, ka -16a^{2}b^{2}.

$$-16a^{2}b^{2}+16b^{4}-16b^{4}$$

Pahekotia te 16b^{4} me -16b^{4}, ka 0.

$$-16a^{2}b^{2}$$