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

Find x if one ball is drawn at random from the box, A box contains 12 balls...

A box contains 12 balls out of which x are black .if one ball is drawn at random from the box  what is the probability that it will be a black ball ? If 6 more black balls are   pu

Logic, INSTRUCTIONS: Construct a regular proof to derive the conclusion of ...

INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F INSTRUCTIONS: Con

Differntial equation, (3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1

(3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1

Classify linear or nonlinear, Question: Classify the following differen...

Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)

Initial value problem, An IVP or Initial Value Problem is a differential eq...

An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +

Estimation of difference among two means, Estimation of difference among tw...

Estimation of difference among two means We know that the standard error of a sample is given by the value of the standard deviation (σ) divided by the square root of the numbe

#titlefunction.., provide a real-world example or scenario that can be expr...

provide a real-world example or scenario that can be express as a relation that is not a function

Explain the decimal system in detail, Explain The Decimal System in detail?...

Explain The Decimal System in detail? A decimal, such as 1.23, is made up of two parts: a whole number and a decimal fraction. In 1.23, the whole number is 1 and the decimal fr

Grouping-categories of situations requiring division , Grouping - situatio...

Grouping - situations in which we need to find the number of portions of a given size which can be obtained from a given quantity. (e.g., if there are 50 children in a class and t

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

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