The value of $$\dfrac{325\times 325 \times 325 + 175 +175 +175}{325\times 325 -325 \times 175+175 \times 175}$$ is

$$\dfrac{325\times 325 \times 325 + 175 +175 +175}{325\times 325 -325 \times 175+175 \times 175}$$

Let $$a=325$$ and $$b=175$$

$$\dfrac{a\times a\times a+ b+b+b}{a\times a-a\times b+b\times b}$$

$$\dfrac{a^3+b^3}{a^2-ab+b^2}$$

$$\dfrac{\left(a+b\right)\left(a^2-ab+b^2\right)}{a^2-ab+b^2}$$

$$a+b$$

Substituting the values of a and b

$$325+175$$

$$500$$

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