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Name: _______________________ Algebraic Expressions 2 – Multiplying Binomials Directions: Simplify 1 2 3 4 5 ( x 3)( x 7) ( x 3)( x 2) ( x 5)( x 5) ( x 5)( x 5) ( x 5)( x 3) Date: _____________ Class: Pre-Algebra 6 ( x 8) 2 11 7 ( x 8) 2 12 8 9 10 ( x 10)( x 10) ( x 4)( x 5) (2 x 3)(3x 4) Sheet # 14-05 ( x 4)( 2 x 2) ( x 3 y )( x 2 y ) 2 13 ( x y ) 14 15 (a 3b)( 2a 2b) (a 3b)( 2a 2b) 16 Anais decided to make her rectangular outdoor swimming pool larger so she can invite more people over for pool parties. The pool’s original length was 14 feet and the width was 10 feet. She increases the length and width by the same amount. Part A Express the area of the new swimming pool as a polynomial in simplest form. 19 Simplify: ( 3 x 2 x 2 ) - ( x 2 2 x 3 ) 20 21 Answer:_____________________ square feet Simplify: 15 x15 y 10 5x 5 y 5 Part B Express the perimeter of the new swimming pool as a polynomial in simplest form. 22 Simplify 5 x 3(4 x 1) Answer:_____________________ feet Part C The new perimeter of the pool is 74 feet. Write an equation and solve to determine the new dimensions of the swimming pool. Answer: width: _______feet; length: ________ feet 17 18 3 7 5 4 2 What is the product of (3s t u ) and (4st u ) ? Simplify: 2 x( x 6) 23 Use a geometric diagram to find the product. c 2c 9 24 Use a geometric diagram to find the product. n 5 n2 3n 7