For any integers x and y, where x ≠ y, the operation x ★ y = | x^2 - y^2(x - y)|. What is the result of 6★3?

For any integers x and y, where x ≠ y, the op… | GMAT Sprint

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PS · Problem Solving

sub-505

Absolute Values/Modules

For any integers x and y, where $x ≠ y$ , the operation $x ★ y = |\frac{x^2 - y^2}{(x - y)}|$ . What is the result of 6★3?

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For any integers x and y, where

x ≠ y

, the operation

x ★ y = |\frac{x^2 - y^2}{(x - y)}|

. To find the value of 6★3,…

Comments

RohanApr 7, 2025

greatt question!

EndeDec 15, 2024

got this wrong on my practice

SamidhaFeb 25, 2025

Can someone explain it other way?

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.