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Lecture

# Assignment 1 soln

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School
Simon Fraser University
Department
Mathematics
Course
MATH 157
Professor
Stephen Choi
Semester
Fall

Description
MATH 157 - D100A SSIGNMENT #1 Due date: Wednesday Jan 11, 2012 Instructor Questions Assignment # 1 Solution Directions: Print double sided, write your solutions to both questions directly on this page, place immediately after cover page and staple together! Marks: An answer without a detailed solution process will be awarded zero marks! Q1: (a) Perform the indicated operations and simplify the expression: 3x ▯ 4xy ▯ 4y2 (2y ▯ x) ▯ : x y x y Solution: 3x ▯ 4xy ▯ 4y2 (2y ▯ x) ▯ x y x y 2 2 3 = 3x ▯ 4xy ▯ 4y ▯ x y x y (2y ▯ x) x(3x ▯ 4xy ▯ 4y ) = 2 (2y ▯ x) x(3x + 2y)(x ▯ 2y) = (2y ▯ x) x(3x + 2y) = : (x ▯ 2y) (b) Rationalize the denominator of the expression p 3 : x + 3 ▯p x Solution: p 3 x + 3 ▯ x p p 3 x + 3 + x = p p ▯p p x + 3 ▯ x x + 3 + x ▯p
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