 # Math Notebook. Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2.

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Math Notebook

Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2

Perfect Square Polynomials  First Term is a perfect square  Last Term is a perfect square  Middle Term: Multiply the square root of the first and last terms, then double it  Question: is x^2 + 12x + 36 a perfect square polynomial?

Difference of Two Square Patterns  Algebra: a^2 – b^2 = (a+b) (a-b)  Example: 2x^2 -9 = (2x)^2 -3^2 = (2x+3) (2x-3)

Examples Factor the polynomialFactored Form  1) y^2 -16 = y^2 -4^2  2) 25m^2 -36 = (5m)^2 -6^2  3) x^2 - 49y^2 = ?  (y+4) (y-4)  (5m +6) (5m-6)  (x+7y) ( )

Example Factor the polynomialSteps  8 – 18n^2  2 ( 4 – 9n^2)  2 ( (2)^2 – (3n)^2  2 (2+3n)(2-3n)  Factor out the greatest common factor  Write 4 – 9n^2 as a^2 -b^2

Perfect Square Trinomials Example  The pattern for finding the square of the binomial gives you the pattern for factoring trinomials of the form:  A^2 -2ab+b^2  A^2 +2ab+b^2 

Examples

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