“If (x-y)² = 44 and xy = 22 what is x² + y²?”

"If (x-y)² = 44 and xy = 22 what is x² + y²?"
Answer: "88"

"Given (x - y)² = 44 and xy = 22 expand (x - y)² to x² + y² - 2xy = 44. Substitute xy = 22 so x² + y² - 44 = 44 solving to x² + y² = 88. This algebraic manipulation is key in solving systems of equations applicable in mathematics and engineering for analyzing variable relationships."