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Factoring Quadratics using Difference of Squares

Learn how to factor quadratic expressions using the difference of squares method. This technique involves identifying binomials that can be written as the product of two squares with different signs.

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Factoring Quadratics using Difference of Squares

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  1. Factoring Quadratics using Difference of Squares Joe,naz,hedger

  2. EXAMPLE 1 Factoring Differences of Squares Solution: • Factor each binomial if possible.

  3. Factoring Differences of Squares EXAMPLE 2 • Factor each difference of squares. Solution:

  4. Factor a difference of squares Reversing this rule leads to the following special factoring rule. • The formula for the product of the sum and difference of the same two terms is For example, . The following conditions must be true for a binomial to be a difference of squares: • Both terms of the binomial must be squares, such as x2, 9y2, 25, 1, m4. • The second terms of the binomials must have different signs (one positive and one negative).

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