# Wk1 L4 Questions.pdf - MATH101: Exercises for Week 1...

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MATH101: Exercises for Week 1 Lecture 4At the end of this lecture you should be able to:Simplify rational expressions using factorisation.Perform operations (addition, subtraction, multiplication, and division)with rational expressions and simplify.1.Applications of Factorising to SimplifyingFactorise and simplify these rational expressions as much as possible:(a)a2-9a2-3a(c)x2-x-12x2+10x+21(b)x2-9x+20x2+x-20(d)6x2+x-22x2+3x-22.Operations with Rational Expressions
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Term
Spring
Professor
zuy
Tags
Elementary arithmetic, t 3t

Unformatted text preview: Representeachofthefollowingasasinglefractionandsimplifyasmuchaspossible: (a) 2 x 2-3 x-10× x +2 x-3 (b)1 x 2- 2 x-3÷ 1 x 2-9 (c) x ( x +1) 6 · 2 x 2- 1 (d) x2 +2 x3 ÷x 2- x- 6 (e)x 2x +3 + 5 x+6 x +3(f) 2 t + 1 3 t (g) 3 x +1- 2 x +2 (h)6 x x+1 + 3 x- 2(i) 4 2x- 1 + x x+3 (j) 2 x +2- 3 ( x +2)(x-3)(k) 2 x- 1- x-3 (x-1) 2 (l)4 x+2- 2 (m) 1-x 3 x 3-1 (n) x-1 x +4- x-2 x- 31...
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