Whakaoti i te a+b/6a-b/2aa^2+b^2/3b^2=

$$\frac { a + b } { 6 } \frac { a - b } { 2 a } \frac { a ^ { 2 } + b ^ { 2 } } { 3 b ^ { 2 } } =$$

Aromātai

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$

Ngā Hipanga Rongoā Poto

Me whakarea te \frac{a+b}{6} ki te \frac{a-b}{2a} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(a+b\right)\left(a-b\right)}{6\times 2a}\times \frac{a^{2}+b^{2}}{3b^{2}}$$

Me whakarea te \frac{\left(a+b\right)\left(a-b\right)}{6\times 2a} ki te \frac{a^{2}+b^{2}}{3b^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{6\times 2a\times 3b^{2}}$$

Whakareatia te 6 ki te 2, ka 12.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{12a\times 3b^{2}}$$

Whakareatia te 12 ki te 3, ka 36.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a-b ka whakakotahi i ngā kupu rite.

$$\frac{\left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

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

$$\frac{\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$

Whakaroha

$$-\frac{b^{4}-a^{4}}{36ab^{2}}$$

Ngā Hipanga Rongoā Poto

Me whakarea te \frac{a+b}{6} ki te \frac{a-b}{2a} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(a+b\right)\left(a-b\right)}{6\times 2a}\times \frac{a^{2}+b^{2}}{3b^{2}}$$

Me whakarea te \frac{\left(a+b\right)\left(a-b\right)}{6\times 2a} ki te \frac{a^{2}+b^{2}}{3b^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{6\times 2a\times 3b^{2}}$$

Whakareatia te 6 ki te 2, ka 12.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{12a\times 3b^{2}}$$

Whakareatia te 12 ki te 3, ka 36.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a-b ka whakakotahi i ngā kupu rite.

$$\frac{\left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

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

$$\frac{\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$