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

Permatuation and combination problem, 4 boys and 4 girls are to seated in a...

4 boys and 4 girls are to seated in arow i)no. of girls sit together ii)not all girls sit together iii)boys and girls are altenate to each other iv)if a particular boy and g

Mr, i needed help with algebra

i needed help with algebra

Sequencing, jobs a b c d e f 1 15 8 6 14 6 26 ...

jobs a b c d e f 1 15 8 6 14 6 26 2 17 7 9 10 15 22 3 21 7 12 9 11 19 4 18 6 11 12 14 17

#titl., class 10 Q.trigonometric formula of 1 term

class 10 Q.trigonometric formula of 1 term

Wavy curve method, In order to compute the inequalities of the form ...

In order to compute the inequalities of the form   where n 1 , n 2 , ....... , n k , m 1 , m 2 , ....... , m p are natural and real numbers and a 1 , a 2 , ... , a k ,

Find the total cost of the shop of arithmetic progressions, Raghav buys a s...

Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

What is the average of his four quiz grades, Andy earned the subsequent gra...

Andy earned the subsequent grades on his four math quizzes: 97, 78, 84, and 86. What is the average of his four quiz grades? To ?nd out the average, you must add the items (97

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