Week 2_Discussion.pptx - Special Factoring Strategies...

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Special Factoring StrategiesJanuary 2019Chamberlain College of NursingMath114N – Algebra for College studentsProfessor McDonald
Special Factoring StrategiesFactoring problems can follow specific patterns. Those patterns are known as the following:a difference of squaresa perfect square trinomiala difference of cubesa sum of cubes
Difference of SquaresDifference-of-Squares Formula: a2b2The factorization would be: (ab)(a+b)Remember that the “difference” means “subtraction”Example:4 = 22, we havex2– 22, which is a difference of squares.x2– 4 = (x)(x)For this example of a quadratic factorization we need factors of –4 that add up to zeroso we will use –2 and +2:x2– 4 = (x– 2)(x+ 2)Remember that we hadx2– 22, which in essence is (x– 2)(x+ 2).
Difference of Squares - continuedWhen you have a problem that includes something squared minus something else squared the problem should be worked like this:Example: a2b21. Start with the parentheses

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