Factor Perfect Squares

Discussion in 'Algebra' started by nycmathguy, Jul 16, 2022.

  1. nycmathguy

    nycmathguy

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    College Algebra
    Chapter 1/Section 5

    What is the meaning of perfect squares? I can factor this type of problem but forgot the definition of perfect squares.

    IMG_20220715_190746.jpg
     
    nycmathguy, Jul 16, 2022
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  2. nycmathguy

    MathLover1

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    correct

    Perfect square;

    An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself.
    Perfect square numbers are not only limited to the numerals but also exist in algebraic identities and polynomials. These can be identified with the help of a factorization technique.

    Algebraic identities as perfect squares:

    a^2 + 2ab + b^2 = (a + b)^2

    a^2 – 2ab + b^2 = (a – b)^2
     
    MathLover1, Jul 16, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Interesting information.
     
    nycmathguy, Jul 16, 2022
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