Datrys frac{75^{3}+25^3}{75^2-75*25+625}+145^2-5^2/150

$$\frac { 75 ^ { 3 } + 25 ^ { 3 } } { 75 ^ { 2 } - 75 \cdot 25 + 625 } + \frac { 145 ^ { 2 } - 5 ^ { 2 } } { 150 }$$

Enrhifo

$$240$$

Camau Ateb

Cyfrifo 75 i bŵer 3 a chael 421875.

$$\frac{421875+25^{3}}{75^{2}-75\times 25+625}+\frac{145^{2}-5^{2}}{150}$$

Cyfrifo 25 i bŵer 3 a chael 15625.

$$\frac{421875+15625}{75^{2}-75\times 25+625}+\frac{145^{2}-5^{2}}{150}$$

Adio 421875 a 15625 i gael 437500.

$$\frac{437500}{75^{2}-75\times 25+625}+\frac{145^{2}-5^{2}}{150}$$

Cyfrifo 75 i bŵer 2 a chael 5625.

$$\frac{437500}{5625-75\times 25+625}+\frac{145^{2}-5^{2}}{150}$$

Lluosi 75 a 25 i gael 1875.

$$\frac{437500}{5625-1875+625}+\frac{145^{2}-5^{2}}{150}$$

Tynnu 1875 o 5625 i gael 3750.

$$\frac{437500}{3750+625}+\frac{145^{2}-5^{2}}{150}$$

Adio 3750 a 625 i gael 4375.

$$\frac{437500}{4375}+\frac{145^{2}-5^{2}}{150}$$

Rhannu 437500 â 4375 i gael 100.

$$100+\frac{145^{2}-5^{2}}{150}$$

Cyfrifo 145 i bŵer 2 a chael 21025.

$$100+\frac{21025-5^{2}}{150}$$

Cyfrifo 5 i bŵer 2 a chael 25.

$$100+\frac{21025-25}{150}$$

Tynnu 25 o 21025 i gael 21000.

$$100+\frac{21000}{150}$$

Rhannu 21000 â 150 i gael 140.

$$100+140$$

Adio 100 a 140 i gael 240.

$$240$$

Ffactor

$$2^{4}\times 3\times 5$$