SOLUTION: This is a discussion based question. Please help. How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and dif

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: This is a discussion based question. Please help. How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and dif      Log On


   

Question 1090890: This is a discussion based question. Please help.
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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The square of the sum formula is                 %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the sum formula in this site.


The square of the difference formula is     %28a+-+b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the difference formula in this site.


The difference of squares formula is       a%5E2+-+b%5E2+=+%28a+%2B+b%29%2A%28a-+b%29.
      For details and examples of applications of this formula see the lesson The difference of squares formula in this site.


The sum of cubes formula is                       a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The sum of cubes formula.


The difference of cubes formula is           a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The difference of cubes formula.