Explanation Given: The expression 3 k 2 k 2 + 3 k − 2 − 2 k 2 k 2 − 7 k + 3 . Explanation: Consider the following expression: 3 k 2 k 2 + 3 k − 2 − 2 k 2 k 2 − 7 k + 3 Factorize the denominators as follows: The factorization of equation 2 k 2 + 3 k − 2 will be as follows: The factors of 2 k 2 are k and 2 k and the factors of − 2 are –2 and 1, –1 and 2. Use first set of factors for both the terms and check whether the multiplication holds. ( 2 k − 1 ) ( k + 2 ) = 2 k ⋅ k + 2 k ⋅ 2 − 1 ⋅ k − 1 ⋅ 2 = 2 k 2 + 4 k − k − 2 = 2 k 2 + 3 k − 2 So, this factorization holds. Similarly, for equation 2 k 2 − 7 k + 3 , factorization will be as follows: The factors of 2 k 2 are k and 2 k and the factors of 3 are 3 and 1. Use first set of factors for both the terms and check whether the multiplication holds. ( 2 k − 1 ) ( k − 3 ) = 2 k ⋅ k − 2 k ⋅ 3 − 1 ⋅ k + 1 ⋅ 3 = 2 k 2 − 6 k − k + 3 = 2 k 2 − 7 k + 3 So, this factorization holds. 3 k 2 k 2 + 3 k − 2 − 2 k 2 k 2 − 7 k + 3 = 3 k ( 2 k − 1 ) ( k + 2 ) − 2 k ( 2 k − 1 ) ( k − 3 ) Convert both the fractions to like fractions with the denominator (2 k – 1)( k + 1)( k – 3)as follows: 3 k ( 2 k − 1 ) ( k + 2 ) − 2 k

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. 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 35E

To determine

The simplified form of the expression 3k2k2+3k−2−2k2k2−7k+3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter R.3, Problem 34E

Chapter R.3, Problem 36E

Students have asked these similar questions

(^) k Recall that for numbers 0 ≤ k ≤ n the binomial coefficient (^) is defined as n! k! (n−k)! Question 1. (1) Prove the following identity: (22) + (1121) = (n+1). (2) Use the identity above to prove the binomial theorem by induction. That is, prove that for any a, b = R, n (a + b)" = Σ (^) an- n-kyk. k=0 n Recall that Σ0 x is short hand notation for the expression x0+x1+ +xn- (3) Fix x = R, x > 0. Prove Bernoulli's inequality: (1+x)" ≥1+nx, by using the binomial theorem. - Question 2. Prove that ||x| - |y|| ≤ |x − y| for any real numbers x, y. Question 3. Assume (In) nEN is a sequence which is unbounded above. That is, the set {xn|nЄN} is unbounded above. Prove that there are natural numbers N] k for all k Є N. be natural numbers (nk Є N). Prove that

Question content area top Part 1 Find the measure of ABC for the congruent triangles ABC and Upper A prime Upper B prime Upper C primeA′B′C′. 79 degrees79° 1533 2930 Part 1 m ABCequals=enter your response heredegrees

Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways

Chapter R Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

Knowledge Booster

Learn more about

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

The simplified form of the expression 3 k 2 k 2 + 3 k − 2 − 2 k 2 k 2 − 7 k + 3 .

Solution Summary: The author explains how to determine the simplified form of the expression 3k2k.

Concept explainers

Videos

The simplified form of the expression 3k2k2+3k−2−2k2k2−7k+3.

Want to see the full answer?

Chapter R Solutions