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Simplifying (101)(99) = (100 + 1)(100 + -1) Multiply 101 * 99 9999 = (100 + 1)(100 + -1) Combine like terms: 100 + 1 = 101 9999 = (101)(100 + -1) Combine like terms: 100 + -1 = 99 9999 = 101(99) Multiply 101 * 99 9999 = 9999 Add '-9999' to each side of the equation. 9999 + -9999 = 9999 + -9999 Combine like terms: 9999 + -9999 = 0 0 = 9999 + -9999 Combine like terms: 9999 + -9999 = 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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