Explanation Given: The rational expression is, 1 m − 1 + 2 m . Property used: Fundamental property, P Q = P S Q S , for all mathematical expressions P , Q , R , and S , with Q ≠ 0 and S ≠ 0 . Addition property, P Q + R Q = P + R Q , for all mathematical expressions P , Q , and R , with Q ≠ 0 . Calculation: Since the denominators of the two rational expressions are different, take least common denominator and then add the numerator while keeping the same denominator. The least common denominator of m and ( m − 1 ) is m ⋅ ( m − 1 ) . Multiply the first term by m m and the second term by m − 1 m − 1 . 1 m − 1 + 2 m = 1 m − 1 ⋅ m m + 2 m ⋅ m − 1 m − 1 [ By Fundamental property ] Simplify the terms as follows, 1 m − 1 + 2

10th Edition

ISBN: 8220102020252

Author: RITCHEY

Publisher: PEARSON

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter R.3, Problem 29E

To determine

To express: The rational expression 1m−1+2m in lowest terms.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter R.3, Problem 28E

Chapter R.3, Problem 30E

Students have asked these similar questions

m 6. V2 = 2- a

• LIVE Which is greater: 10 centimeters or 103 millimeters? How much greater? А. • LIVE 10 centimeters; it is 3 millimeters greater. В. • LIVE 10 centimeters; it is 3 centimeters greater. • LIVE 103 millimeters; it is 3 centimeters greater. D. • LIVE 103 millimeters; it is 3 millimeters greater. Roviow nrogress Ouestion 3. of 5 B.

Solve. 5 A square pillow is covered with square felt pieces. There are 81 felt pieces on the pillow. How many felt pieces are along each edge of the pillow? Explain your answer.

Chapter R Solutions

EBK FINITE MATHEMATICS AND CALCULUS WIT

Ch. R.1 - Perform the operation 3(x24x5)4(3x25x7)Ch. R.1 - Perform the operation (3y+2)(4y22y5).Ch. R.1 - Find (2x+7)(3x1) using the FOIL method.Ch. R.1 - Find (3x+2y)3.Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To express: The rational expression 1 m − 1 + 2 m in lowest terms.

Solution Summary: The author explains how to express the rational expression 1m-1+fruc2 in lowest terms.

Concept explainers

Videos

To express: The rational expression 1m−1+2m in lowest terms.

Want to see the full answer?

Chapter R Solutions