Whakaoti i te 25*3675/48*11*10^9*frac{25{3}*10^-6}(3*5^2-4*25^2)*1000

$$\frac{ 25 \times 3675 }{ 48 \times 11 \times { 10 }^{ 9 } \times \frac{ 25 }{ 3 } \times { 10 }^{ -6 } } (3 \times { 5 }^{ 2 } -4 \times { 25 }^{ 2 } ) \times 1000$$

Aromātai

$$-\frac{8911875}{176}\approx -50635.653409091$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te -6 kia riro ai te 3.

$$\frac{25\times 3675}{48\times 11\times 10^{3}\times \frac{25}{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{25\times 1225}{\frac{25}{3}\times 11\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakareatia te 25 ki te 1225, ka 30625.

$$\frac{30625}{\frac{25}{3}\times 11\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakareatia te \frac{25}{3} ki te 11, ka \frac{275}{3}.

$$\frac{30625}{\frac{275}{3}\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakareatia te \frac{275}{3} ki te 16, ka \frac{4400}{3}.

$$\frac{30625}{\frac{4400}{3}\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$\frac{30625}{\frac{4400}{3}\times 1000}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakareatia te \frac{4400}{3} ki te 1000, ka \frac{4400000}{3}.

$$\frac{30625}{\frac{4400000}{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakawehe 30625 ki te \frac{4400000}{3} mā te whakarea 30625 ki te tau huripoki o \frac{4400000}{3}.

$$30625\times \frac{3}{4400000}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Whakareatia te 30625 ki te \frac{3}{4400000}, ka \frac{147}{7040}.

$$\frac{147}{7040}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{147}{7040}\left(3\times 25-4\times 25^{2}\right)\times 1000$$

Whakareatia te 3 ki te 25, ka 75.

$$\frac{147}{7040}\left(75-4\times 25^{2}\right)\times 1000$$

Tātaihia te 25 mā te pū o 2, kia riro ko 625.

$$\frac{147}{7040}\left(75-4\times 625\right)\times 1000$$

Whakareatia te 4 ki te 625, ka 2500.

$$\frac{147}{7040}\left(75-2500\right)\times 1000$$

Tangohia te 2500 i te 75, ka -2425.

$$\frac{147}{7040}\left(-2425\right)\times 1000$$

Whakareatia te \frac{147}{7040} ki te -2425, ka -\frac{71295}{1408}.

$$-\frac{71295}{1408}\times 1000$$

Whakareatia te -\frac{71295}{1408} ki te 1000, ka -\frac{8911875}{176}.

$$-\frac{8911875}{176}$$

Tauwehe

$$-\frac{8911875}{176} = -50635\frac{115}{176} = -50635.65340909091$$