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3 Operations on rational expressions 1 Review operations on polynomials Adding Subtracting polynomials Remove all...

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3 Operations on rational expressions 1 Review operations on polynomials Adding Subtracting polynomials Remove all parentheses change the sign when subtracting Combine like terms Multiplying polynomials Multiply each term of the first polynomial by each term of the second polynomial and then combine like terms Special products i Distributive property a b c ab ac ii FOIL method first terms outer terms inner terms last terms a b c d ac ad bc bd iii Squaring Binomials a b a 2ab b 2x 3 x 2x x 2x 3 x 3x Example 2x x 3 x 6 2x x 3x 6 2x 2x 9 c 2m 5 6m m 1 Examples Distributive 2 x 4 2x 8 FOIL t 3 t 7 t 7t 3t 21 t 4t 21 Squaring binomials m 3 a b a 2ab b iv Multiplying the sum and difference of two terms a b a b a b You may also use the tabular method to multiply polynomials Multiply 2x 3 x 3x 5 m 2 m 3 3 m 6m 9 x 6 x 2 x 6 6 x 12x 36 Product of sum and difference 2 x x x x 1 4 3x 2x 3x 6x 3 3x 9x Answer 2x 3 x 3x 5 2x 3x 19x 15 1 Simplify the following a 2 x 3 b r 2 7 r d x 3y 5 2x 5 10x 3 5 15

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