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Simplifying 9x2 + -16y2 = (3x + 4y)(3x + -4y) Multiply (3x + 4y) * (3x + -4y) 9x2 + -16y2 = (3x * (3x + -4y) + 4y * (3x + -4y)) 9x2 + -16y2 = ((3x * 3x + -4y * 3x) + 4y * (3x + -4y)) Reorder the terms: 9x2 + -16y2 = ((-12xy + 9x2) + 4y * (3x + -4y)) 9x2 + -16y2 = ((-12xy + 9x2) + 4y * (3x + -4y)) 9x2 + -16y2 = (-12xy + 9x2 + (3x * 4y + -4y * 4y)) 9x2 + -16y2 = (-12xy + 9x2 + (12xy + -16y2)) Reorder the terms: 9x2 + -16y2 = (-12xy + 12xy + 9x2 + -16y2) Combine like terms: -12xy + 12xy = 0 9x2 + -16y2 = (0 + 9x2 + -16y2) 9x2 + -16y2 = (9x2 + -16y2) Add '-9x2' to each side of the equation. 9x2 + -9x2 + -16y2 = 9x2 + -9x2 + -16y2 Combine like terms: 9x2 + -9x2 = 0 0 + -16y2 = 9x2 + -9x2 + -16y2 -16y2 = 9x2 + -9x2 + -16y2 Combine like terms: 9x2 + -9x2 = 0 -16y2 = 0 + -16y2 -16y2 = -16y2 Add '16y2' to each side of the equation. -16y2 + 16y2 = -16y2 + 16y2 Combine like terms: -16y2 + 16y2 = 0 0 = -16y2 + 16y2 Combine like terms: -16y2 + 16y2 = 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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