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Given: x² + xy = 100 - y² - xy Add xy and y² to both sides of the equation to get: x² + 2xy + y² = 100
Now let's find the value of \((x \sqrt{3} + y \sqrt{3})^2\) Use FOIL to expand and simplify: 3x² + 6xy + 3y² Factor to get: 3(x² + 2xy + y²) Substitute to get: 3(100) Evaluate: 300
Use FOIL to expand and simplify: 3x² + 6xy + 3y² Divide by 3 to get: (x² + 2xy + y²) Substitute and I got 100 as answer. Not sure why am I getting differnet answer here? Could you clairfy? Thanks