Solve frac{93^{3}-7^3}{93^2+7*93+49}+93^2-7^2/86

$$\frac { 93 ^ { 3 } - 7 ^ { 3 } } { 93 ^ { 2 } + 7 \cdot 93 + 49 } + \frac { 93 ^ { 2 } - 7 ^ { 2 } } { 86 }$$

Evaluate

$$186$$

Solution Steps

Calculate 93 to the power of 3 and get 804357.

$$\frac{804357-7^{3}}{93^{2}+7\times 93+49}+\frac{93^{2}-7^{2}}{86}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{804357-343}{93^{2}+7\times 93+49}+\frac{93^{2}-7^{2}}{86}$$

Subtract 343 from 804357 to get 804014.

$$\frac{804014}{93^{2}+7\times 93+49}+\frac{93^{2}-7^{2}}{86}$$

Calculate 93 to the power of 2 and get 8649.

$$\frac{804014}{8649+7\times 93+49}+\frac{93^{2}-7^{2}}{86}$$

Multiply 7 and 93 to get 651.

$$\frac{804014}{8649+651+49}+\frac{93^{2}-7^{2}}{86}$$

Add 8649 and 651 to get 9300.

$$\frac{804014}{9300+49}+\frac{93^{2}-7^{2}}{86}$$

Add 9300 and 49 to get 9349.

$$\frac{804014}{9349}+\frac{93^{2}-7^{2}}{86}$$

Divide 804014 by 9349 to get 86.

$$86+\frac{93^{2}-7^{2}}{86}$$

Calculate 93 to the power of 2 and get 8649.

$$86+\frac{8649-7^{2}}{86}$$

Calculate 7 to the power of 2 and get 49.

$$86+\frac{8649-49}{86}$$

Subtract 49 from 8649 to get 8600.

$$86+\frac{8600}{86}$$

Divide 8600 by 86 to get 100.

$$86+100$$

Add 86 and 100 to get 186.

$$186$$

Factor

$$2\times 3\times 31$$