# Lesson25 - a ab ab b a ab b + = + + = + + + = + + = + + To...

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1 Lesson 25 Section 5.2 Multiplication of Polynomials To multiply two monomials, use the rules of exponents. 1) 2 3 5 2 2 ( 8 )(2 ) x y z x y z - = 2) 2 3 5 2 (5 )(3 ) a b a b = To multiply a monomial and a polynomial with 2 or more terms, use the distributive property. 3) 3 2 4 (3 4 7 2) x x x x - + - = 4) 2 2 2 5 (4 6 ) a b a ab b - + = To multiply two binomials, use FOIL. BD BC AD AC D C B A + + + = + + ) )( ( First –Outer- Inner -Last ) )( ( D C B A + + 5) ) 4 2 )( 3 4 ( - + x x 6) ) 4 )( 3 2 ( - + x b a 7) ) 3 2 )( 4 ( n m n m + - 8) ) 3 2 )( 3 2 ( - + x x 9) ) 3 4 ) 3 4 ( + + x x 10) ) 4 1 3 2 )( 2 1 ( - - x x

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2 To multiply any two general polynomials, multiply each term of one polynomial by the second polynomial. Distribute and combine terms. 11) ) 2 2 3 )( 1 4 ( 2 + - + x x x 12) ) 4 )( 2 )( 3 ( + - + x x x 13) ) 2 )( 5 2 3 ( 2 2 b a b ab a + + + Examine: 2 2 2 2 2 2 2 ( ) ( )( ) 2 (1st) twice(product of 1st and 2nd) (2nd) a b a b a b
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Unformatted text preview: a ab ab b a ab b + = + + = + + + = + + = + + To Square a Binomial, use this pattern. 2 2 2 2 ) ( B AB A B A + = 1. square the first term 2. double the product of the terms 3. square the second term 3 14) 2 ) 9 4 ( m + 15) 2 ) 5 6 ( s r-Examine: 2 2 2 2 2 2 ( )( ) (1st) (2nd) a b a b a ab ab b a b +-=-+-=-=-Product of a Sum and Difference is this pattern: 2 2 ) )( ( B A B A B A-=-+ 1. square of first term 2. subtract 3. square of second term 16) ) 4 . )( 4 . ( +-m m 17) ) 3 2 )( 3 2 ( 2 2 c b c b-+ 18) ) 2 3 4 )( 2 3 4 ( +-x x...
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Lesson25 - a ab ab b a ab b + = + + = + + + = + + = + + To...

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