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

What is exponents values, What is Exponents values? Exponents were inve...

What is Exponents values? Exponents were invented as a quick way to show that you are multiplying a number by itself several times. It's too much trouble to write something

Geometry, calculate the area of a trapezoid with height 8cm base 18cm and 9...

calculate the area of a trapezoid with height 8cm base 18cm and 9cm

Find the coordinates of c , Plot the points A(2,0) and B (6,0) on a graph p...

Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C   (Ans: (

Real numbers, All the number sets we have seen above put together com...

All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i

Managment Science, Classify models based on the degree of their abstraction...

Classify models based on the degree of their abstraction, and provide some examples of such models.

Arthimetic progressions, what is the ratio of sides of a right angle triang...

what is the ratio of sides of a right angle triangle which are in A.P

Prove that one of three consecutive integers divisible by 3, Prove that one...

Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +

Determine series is convergent or divergent by root test, Find out if the f...

Find out if the following series is convergent or divergent. Solution There really is not very much to these problems another than calculating the limit and then usin

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

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