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Simplifying 3a2b + -5ab2 + 2a2b + -5ab2 = 5ab(a + -2b) Reorder the terms: -5ab2 + -5ab2 + 3a2b + 2a2b = 5ab(a + -2b) Combine like terms: -5ab2 + -5ab2 = -10ab2 -10ab2 + 3a2b + 2a2b = 5ab(a + -2b) Combine like terms: 3a2b + 2a2b = 5a2b -10ab2 + 5a2b = 5ab(a + -2b) -10ab2 + 5a2b = (a * 5ab + -2b * 5ab) Reorder the terms: -10ab2 + 5a2b = (-10ab2 + 5a2b) -10ab2 + 5a2b = (-10ab2 + 5a2b) Add '10ab2' to each side of the equation. -10ab2 + 10ab2 + 5a2b = -10ab2 + 10ab2 + 5a2b Combine like terms: -10ab2 + 10ab2 = 0 0 + 5a2b = -10ab2 + 10ab2 + 5a2b 5a2b = -10ab2 + 10ab2 + 5a2b Combine like terms: -10ab2 + 10ab2 = 0 5a2b = 0 + 5a2b 5a2b = 5a2b Add '-5a2b' to each side of the equation. 5a2b + -5a2b = 5a2b + -5a2b Combine like terms: 5a2b + -5a2b = 0 0 = 5a2b + -5a2b Combine like terms: 5a2b + -5a2b = 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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