Dropped down the rational expression to lowest terms, Mathematics

Assignment Help:

Carry out the indicated operation and dropped down the answer to lowest terms.

 (x2 - 5x -14/ x2-3x+2) .   (x2 - 4)/x2-14x+49)

Solution

This is a multiplication.  The first thing that we have to always do in the multiplication is to factor everything into sight as much as possible.

 (x2 - 5x -14/ x2-3x+2) .   (x2 - 4)/x2-14x+49)=((x-7)(x+2)/(x-2)(x-1)).((x-2)(x+2)/(x-7)2)

Now, recall that we can cancel out things across a multiplication like this.

1555_Dropped down the rational expression to lowest terms.png

Note that it only works for multiplication and NOT for division!

In this case we do have multiplication hence cancel as much as we can and then do the multiplication to acquire the answer.

 (x2 - 5x -14/ x2-3x+2) .   (x2 - 4)/x2-14x+49)= (x+2) /( (x-1). (x+2) (x-7) = (x+2)2 /(x-1). (x-7)


Related Discussions:- Dropped down the rational expression to lowest terms

Example of subtraction of fractions, Example of Subtraction of Fractions: ...

Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w

Each child is unique in learning development, Each Child Is Unique :  Alth...

Each Child Is Unique :  Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth

Continuous uniform distribution, Continuous Uniform Distribution Consid...

Continuous Uniform Distribution Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) Fo

Definition of concavity, Definition 1: Given the function f (x ) then 1...

Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca

Distinct eigenvalues-sketching the phase portrait, Sketch the phase portrai...

Sketch the phase portrait for the given system. Solution : From the last illustration we know that the eigenvectors and eigenvalues for this system are, This tu

Formulas, how many formulas there for the (a-b)2

how many formulas there for the (a-b)2

Algebra, how do i sole linear epuation

how do i sole linear epuation

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd