[PDF] difference of two squares trinomials

Trinomial squares are also known as perfect square trinomials, and are the squares of binomial expressions. They factor as (a + b)(a + b) or (a – b)(a – b) where a and b are real numbers. Forms such as (a + b)(a -b) are special products that are also called the difference of squares.
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  • What is the difference of two squares in factoring?

    When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b).
    For example, x²-25 can be factored as (x+5)(x-5).
    This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

  • What is the difference of two squares in factoring?

    The difference of two squares or a2- b2 formula is a formula that helps us express a quadratic polynomial as a product of two binomials where one shows the sum and the other shows the difference of the two perfect squares respectively.
    On multiplying (x + 5)(x - 5), we get x2 + 5x - 5x - 25 = x2 - 25.

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