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Simplifying (4a + -1b)(4a + b) = 16a2 + -1b2 Multiply (4a + -1b) * (4a + b) (4a * (4a + b) + -1b * (4a + b)) = 16a2 + -1b2 ((4a * 4a + b * 4a) + -1b * (4a + b)) = 16a2 + -1b2 Reorder the terms: ((4ab + 16a2) + -1b * (4a + b)) = 16a2 + -1b2 ((4ab + 16a2) + -1b * (4a + b)) = 16a2 + -1b2 (4ab + 16a2 + (4a * -1b + b * -1b)) = 16a2 + -1b2 (4ab + 16a2 + (-4ab + -1b2)) = 16a2 + -1b2 Reorder the terms: (4ab + -4ab + 16a2 + -1b2) = 16a2 + -1b2 Combine like terms: 4ab + -4ab = 0 (0 + 16a2 + -1b2) = 16a2 + -1b2 (16a2 + -1b2) = 16a2 + -1b2 Add '-16a2' to each side of the equation. 16a2 + -16a2 + -1b2 = 16a2 + -16a2 + -1b2 Combine like terms: 16a2 + -16a2 = 0 0 + -1b2 = 16a2 + -16a2 + -1b2 -1b2 = 16a2 + -16a2 + -1b2 Combine like terms: 16a2 + -16a2 = 0 -1b2 = 0 + -1b2 -1b2 = -1b2 Add 'b2' to each side of the equation. -1b2 + b2 = -1b2 + b2 Combine like terms: -1b2 + b2 = 0 0 = -1b2 + b2 Combine like terms: -1b2 + b2 = 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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