Precalc0006to0010-page24

Precalc0006to0010-pa - expression was x ± ² 7 4 ³ ´ µ ¸ and it is implied by the final expression Method 2(Rewrite as a Compound Fraction

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 0.9: Simplifying Algebraic Expressions) 0.9.6 WARNING 4 : Compound fractions are typically unacceptable in a simplified expression. We will multiply the numerator and the denominator by 3. = 3 x 8 x + 14 ± 4 3 x ² ³ ´ µ · 34 x + 7 () 4/3 = 24 x 2 + 42 x ± 4 x 2 34 x + 7 () 4/3 = 20 x 2 + 42 x 34 x + 7 () 4/3 , or 2 x 10 x + 21 () 34 x + 7 () 4/3 WARNING 5 : We should factor the numerator and see if there are any common factors with the denominator, aside from 1 and ± 1 . Such factors must be canceled ( divided out ). WARNING 6 : Do not distribute the 3 in the denominator. The 4/3 exponent forbids that. • No restrictions need to be written. The only restriction on the given
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: expression was x ± ² 7 4 ³ ´ µ ¶ · ¸ , and it is implied by the final expression. Method 2 (Rewrite as a Compound Fraction First) Because of the negative exponent ± 2 3 , the expressions in blue below can be rewritten as fractions containing positive exponents. Again, the substitution u = 4 x + 7 may help. 2 x 4 x + 7 ( ) 1/3 ± 4 3 x 2 4 x + 7 ( ) ± 2/3 4 x + 7 ( ) 2/3 or 2 xu 1/3 ± 4 3 x 2 u ± 2/3 u 2/3 = 2 x 4 x + 7 ( ) 1/3 ± 4 x 2 3 4 x + 7 ( ) 2/3 4 x + 7 ( ) 2/3 or 2 xu 1/3 ± 4 x 2 3 u 2/3 u 2/3...
View Full Document

This document was uploaded on 12/29/2011.

Ask a homework question - tutors are online