The value of (325 x 325 x 325+175 x 175 x 175)/(325 x 325-325 x 175+175 x 175) is Option 1: 143755 Option 2: 1125 Option 3: 9575 Option 4: 500

Answer: 500. Solution: The given expression can be written as: ((325)^3+(175)^3)/((325)^2+(175)^2-(325)(175)) Let a=325, b=175, then: (a^3+b^3)/(a^2+b^2-ab) We know that a^3+b^3=(a+b)(a^2+b^2-ab) So: ((a+b)(a^2+b^2-ab))/(a^2+b^2-ab)=a+b=325+175=500

Algebra

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Medium

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

143755

1125

9575

500

✅ Correct Option: 4

The given expression can be written as:

$\frac{(325)^3+(175)^3}{(325)^2+(175)^2-(325)(175)}$

Let $a=325$ , $b=175,$ then:

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

We know that $a^3+b^3=(a+b)(a^2+b^2-ab)$

So:

$\frac{(a+b)(a^2+b^2-ab)}{(a^2+b^2-ab)}=a+b=325+175=500$

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The value of 325×325×325+175×175×175325×325−325×175+175×175\frac{325 \times 325 \times 325+175 \times 175 \times 175}{325 \times 325-325 \times 175+175 \times 175}325×325−325×175+175×175325×325×325+175×175×175​ is

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JIPMAT Past Year Questions (Topic-Wise)

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