Problem

If \( X^{3}-Y^{3}=26, X-Y=2 \) then \( X^{2}+X Y+Y^{2}=\cdots \)

Solution

Step 1 :1. X=Y+2

Step 2 :2. Substitute X in \(X^3-Y^3=26\): \((Y+2)^3-Y^3=26\)

Step 3 :3. Solve for Y: Y=3

Step 4 :4. Solve for X: X=5

Step 5 :5. Substitute X, Y in \(X^2+XY+Y^2\): \(5^2+5(3)+3^2\)

From Solvely APP
Source: https://solvelyapp.com/problems/15601/

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