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# Assignment 1 soln

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Simon Fraser University

Mathematics

MATH 157

Stephen Choi

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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