Solve frac{24^{3}-44^3}{576+24*44+44^2}-256^2-44^2/300

$$\frac { 24 ^ { 3 } - 44 ^ { 3 } } { 576 + 24 \cdot 44 + 44 ^ { 2 } } - \frac { 256 ^ { 2 } - 44 ^ { 2 } } { 300 }$$

Evaluate

$$-232$$

Solution Steps

Calculate 24 to the power of 3 and get 13824.

$$\frac{13824-44^{3}}{576+24\times 44+44^{2}}-\frac{256^{2}-44^{2}}{300}$$

Calculate 44 to the power of 3 and get 85184.

$$\frac{13824-85184}{576+24\times 44+44^{2}}-\frac{256^{2}-44^{2}}{300}$$

Subtract 85184 from 13824 to get -71360.

$$\frac{-71360}{576+24\times 44+44^{2}}-\frac{256^{2}-44^{2}}{300}$$

Multiply 24 and 44 to get 1056.

$$\frac{-71360}{576+1056+44^{2}}-\frac{256^{2}-44^{2}}{300}$$

Add 576 and 1056 to get 1632.

$$\frac{-71360}{1632+44^{2}}-\frac{256^{2}-44^{2}}{300}$$

Calculate 44 to the power of 2 and get 1936.

$$\frac{-71360}{1632+1936}-\frac{256^{2}-44^{2}}{300}$$

Add 1632 and 1936 to get 3568.

$$\frac{-71360}{3568}-\frac{256^{2}-44^{2}}{300}$$

Divide -71360 by 3568 to get -20.

$$-20-\frac{256^{2}-44^{2}}{300}$$

Calculate 256 to the power of 2 and get 65536.

$$-20-\frac{65536-44^{2}}{300}$$

Calculate 44 to the power of 2 and get 1936.

$$-20-\frac{65536-1936}{300}$$

Subtract 1936 from 65536 to get 63600.

$$-20-\frac{63600}{300}$$

Divide 63600 by 300 to get 212.

$$-20-212$$

Subtract 212 from -20 to get -232.

$$-232$$

Factor

$$-232$$