Results 1 to 6 of 6

Math Help - How can algebraic expressions be rewritten in equivalent form?

  1. #1
    Newbie
    Joined
    Dec 2010
    Posts
    11

    Question How can algebraic expressions be rewritten in equivalent form?

    How do I answer this question? Can you please explain and show an example. Please explain well because I don't know what to write.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Dec 2010
    Posts
    470
    Your question is a bit vague.

    In most algebras, terms in the algebra can be directly compared for equality by rewriting to some canonical form (meaning that terms in the same equivalence class always rewrites to the same canonical form).

    For example, we can define canonical form for a polynomial to be a_0 + a_1x^1 + a_2x^2 + ....
    We can rewrite (x + 1)^2 = 1 + 2x + x^2 and x^2 - (x - 1) + 3x = 1 + 2x + x^2 to show that (x + 1)^2 = x^2 - (x - 1) + 3x since they have the same canonical form.
    Furthermore, if the canonical form of two polynomials differ, then we can conclusively say they are different.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Oct 2009
    Posts
    769
    Quote Originally Posted by Johnathon324 View Post
    How do I answer this question? Can you please explain and show an example. Please explain well because I don't know what to write.
    When this question arose in your class, what was the class lesson of the day?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Dec 2010
    Posts
    11
    My teacher was talking about properties such as distributive and communitive
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Dec 2010
    Posts
    470
    Your question is still vague.

    Were you asked this exact question without any context?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Banned
    Joined
    Oct 2009
    Posts
    769
    Quote Originally Posted by Johnathon324 View Post
    My teacher was talking about properties such as distributive and communitive
    With a distributive property, you can rewrite a(b + c) as ab + ac. And with a commutative property, you can rewrite ab as ba (you can plug in the numbers).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equivalent Trig Expressions
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: November 9th 2011, 06:24 PM
  2. Equivalent expressions for values of cot and sec.
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 14th 2009, 10:36 PM
  3. Equivalent Trigonomteric Expressions
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: March 29th 2009, 08:22 AM
  4. Equivalent Algebraic Expression
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 15th 2008, 03:39 AM
  5. Replies: 3
    Last Post: April 20th 2008, 05:25 PM

Search Tags


/mathhelpforum @mathhelpforum