Solve 258^3-147^3/258^2+258*147+147^2

$$\frac { 258 ^ { 3 } - 147 ^ { 3 } } { 258 ^ { 2 } + 258 \cdot 147 + 147 ^ { 2 } }$$

Evaluate

$$111$$

Solution Steps

Calculate 258 to the power of 3 and get 17173512.

$$\frac{17173512-147^{3}}{258^{2}+258\times 147+147^{2}}$$

Calculate 147 to the power of 3 and get 3176523.

$$\frac{17173512-3176523}{258^{2}+258\times 147+147^{2}}$$

Subtract 3176523 from 17173512 to get 13996989.

$$\frac{13996989}{258^{2}+258\times 147+147^{2}}$$

Calculate 258 to the power of 2 and get 66564.

$$\frac{13996989}{66564+258\times 147+147^{2}}$$

Multiply 258 and 147 to get 37926.

$$\frac{13996989}{66564+37926+147^{2}}$$

Add 66564 and 37926 to get 104490.

$$\frac{13996989}{104490+147^{2}}$$

Calculate 147 to the power of 2 and get 21609.

$$\frac{13996989}{104490+21609}$$

Add 104490 and 21609 to get 126099.

$$\frac{13996989}{126099}$$

Divide 13996989 by 126099 to get 111.

$$111$$

Factor

$$3\times 37$$