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Simplifying (5x + 2y)(5x + -2y) = 25x2 + -4y2 Multiply (5x + 2y) * (5x + -2y) (5x * (5x + -2y) + 2y * (5x + -2y)) = 25x2 + -4y2 ((5x * 5x + -2y * 5x) + 2y * (5x + -2y)) = 25x2 + -4y2 Reorder the terms: ((-10xy + 25x2) + 2y * (5x + -2y)) = 25x2 + -4y2 ((-10xy + 25x2) + 2y * (5x + -2y)) = 25x2 + -4y2 (-10xy + 25x2 + (5x * 2y + -2y * 2y)) = 25x2 + -4y2 (-10xy + 25x2 + (10xy + -4y2)) = 25x2 + -4y2 Reorder the terms: (-10xy + 10xy + 25x2 + -4y2) = 25x2 + -4y2 Combine like terms: -10xy + 10xy = 0 (0 + 25x2 + -4y2) = 25x2 + -4y2 (25x2 + -4y2) = 25x2 + -4y2 Add '-25x2' to each side of the equation. 25x2 + -25x2 + -4y2 = 25x2 + -25x2 + -4y2 Combine like terms: 25x2 + -25x2 = 0 0 + -4y2 = 25x2 + -25x2 + -4y2 -4y2 = 25x2 + -25x2 + -4y2 Combine like terms: 25x2 + -25x2 = 0 -4y2 = 0 + -4y2 -4y2 = -4y2 Add '4y2' to each side of the equation. -4y2 + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 0 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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