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Simplifying 200x4 + -72y2 = 8(5x2 + -3y)(5x2 + 3y) Multiply (5x2 + -3y) * (5x2 + 3y) 200x4 + -72y2 = 8(5x2 * (5x2 + 3y) + -3y * (5x2 + 3y)) 200x4 + -72y2 = 8((5x2 * 5x2 + 3y * 5x2) + -3y * (5x2 + 3y)) Reorder the terms: 200x4 + -72y2 = 8((15x2y + 25x4) + -3y * (5x2 + 3y)) 200x4 + -72y2 = 8((15x2y + 25x4) + -3y * (5x2 + 3y)) 200x4 + -72y2 = 8(15x2y + 25x4 + (5x2 * -3y + 3y * -3y)) 200x4 + -72y2 = 8(15x2y + 25x4 + (-15x2y + -9y2)) Reorder the terms: 200x4 + -72y2 = 8(15x2y + -15x2y + 25x4 + -9y2) Combine like terms: 15x2y + -15x2y = 0 200x4 + -72y2 = 8(0 + 25x4 + -9y2) 200x4 + -72y2 = 8(25x4 + -9y2) 200x4 + -72y2 = (25x4 * 8 + -9y2 * 8) 200x4 + -72y2 = (200x4 + -72y2) Add '-200x4' to each side of the equation. 200x4 + -200x4 + -72y2 = 200x4 + -200x4 + -72y2 Combine like terms: 200x4 + -200x4 = 0 0 + -72y2 = 200x4 + -200x4 + -72y2 -72y2 = 200x4 + -200x4 + -72y2 Combine like terms: 200x4 + -200x4 = 0 -72y2 = 0 + -72y2 -72y2 = -72y2 Add '72y2' to each side of the equation. -72y2 + 72y2 = -72y2 + 72y2 Combine like terms: -72y2 + 72y2 = 0 0 = -72y2 + 72y2 Combine like terms: -72y2 + 72y2 = 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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