# Perfect Square Trinomial

May 29th, 2015
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A trinomial is a perfect square if the middle term is twice the product of the square roots of the first and the third term. Some expression consists of three terms; two terms that are perfect squares, and third term which is twice the product of

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5. Perfect Square TrinomialA trinomial is a perfect square if the middle term is twice the product of the square roots of the first and the third term.Some expression consists of three terms; two terms that are perfect squares, and third term which is twice the product of the square roots of the two perfect square terms.The two perfect square trinomials are positive and negative.x2 2xy + y2 = ( x y )2 or (x y) (x y)Perfect Square Square of1st 2nd Trinomial the Difference factor factor (Negative) of the Square Rootx2 + 2xy + y2 = ( x + y)2 or (x + y) (x + y)Perfect Square Square of1st 2nd Trinomial the Difference factor factor (Positive) of the Square RootExamples:a 2ab + b2 = (a + b) 24x2 + 36x + 81 = (2x + 9)2x2 10x + 25 = (x 5)2CHAPTER 3ALGEBRAIC FRACTIONSRational expression simple fractions are a quotient of two algebraic expressions or polynomials.Types of fractions:1. Proper fraction is one whose degree of polynomial in the numerator is less than the degree of the polynomial in the denominator.Examples: 2; x + 1x + 5 x2 2x + 32. Improper fraction is one whose degree of polynomial in the numerator is greater than or equal to the degree of the polynomial in the denominator.Examples:

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