• While solving simultaneous equations of the form x2 + y2 = 65 and x + y = 3, there is no real need to solve it theoretically, which turns out to be a laborious process.
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ALGEBRA: Equations and Inequalities
• If A, B and C have a common factor divide the entire equation by this common factor. The following matter considers that you have done this step and A and B are considered after the division.
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ALGEBRA: Integer solutions to equations of the type Ax ± By = C
•Whenever there appears any term of the type a3 + b3 + c3, do check for a + b + c being equal to zero. If a + b + c is indeed zero, then a3 + b3 + c3 = 3abc.
•The series 1, 3, 6, 10, 15 should immediately be recognized as series of sum of first n natural numbers.
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General Fundas of Algebra
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