Explanation Given information: The provided mathematical expression is, 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 Formula used: To divide by a rational expression, multiply by its reciprocal as; A B ÷ C D = A B ⋅ D C = A D B C The algebraic identity is; a 2 − b 2 = ( a + b ) ( a − b ) Calculation: The provided mathematical expression is; 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 To find the reciprocal of expression 12 p 2 + 43 p + 35 2 p 2 − p − 6 interchange the numerator and denominator as; 2 p 2 − p − 6 12 p 2 + 43 p + 35 Now, the division can be performed by use of formula A B ÷ C D = A B ⋅ D C as; 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 = 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ⋅ 2 p 2 − p − 6 12 p 2 + 43 p + 35 = ( 2 p 2 − p − 6 ) 2 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ⋅ 1 12 p 2 + 43 p + 35 Now simplify by factorization and formula a 2 − b 2 = ( a + b ) ( a − b ) as; 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 = [ ( 2 p 2 − p − 6 ) 2 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ⋅ 1 12 p 2 + 43 p + 35 ] = [ ( 2 p 2 − 4 p + 3 p − 6 ) 2 ( 4 p

10th Edition

ISBN: 9780135960226

Author: BITTINGER

Publisher: PEARSON CO

See similar textbooks

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Videos

Question

Chapter 6.2, Problem 102ES

To determine

To calculate: The simplified value of the expression

2p2−p−616p2−25⋅12p2+13p−354p2+12p+9÷12p2+43p+352p2−p−6.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.2, Problem 101ES

Chapter 6.2, Problem 103ES

Students have asked these similar questions

Is it possible to show me how to come up with an exponential equation by showing all the steps work and including at least one mistake that me as a person can make. Like a calculation mistake and high light what the mistake is. Thanks so much.

Consider the weighted voting system [16: 15, 8, 3, 1]Find the Banzhaf power distribution of this weighted voting system.List the power for each player as a fraction: P1: P2: P3: P4:

Solutions of inequalitie Google Classroom Mic Is (-3, 2) a solution of 7x+9y > -3? Choose 1 answer: A Yes B No Related content ▶6:06 Testing solutions to inequalities 2 of 4

Chapter 6 Solutions

EP ELEMENTARY ALGEBRA...-MYLAB ACCESS

Ch. 6.1 - Prob. 1YT Ch. 6.1 - Prob. 2YT Ch. 6.1 - Prob. 3YT Ch. 6.1 - Prob. 4YT Ch. 6.1 - Prob. 5YT Ch. 6.1 - Prob. 6YT Ch. 6.1 - Prob. 1CYU Ch. 6.1 - Prob. 2CYU Ch. 6.1 - Prob. 3CYU Ch. 6.1 - Prob. 4CYU

Knowledge Booster

$Algebra$

Learn more about

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

The simplified value of the expression 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 .

Solution Summary: The author explains how to calculate the simplified value of the expression 2p2.

Concept explainers

Videos

To calculate: The simplified value of the expression

2p2−p−616p2−25⋅12p2+13p−354p2+12p+9÷12p2+43p+352p2−p−6.

Want to see the full answer?

Chapter 6 Solutions

The simplified value of the expression 2 p 2 − p − 6 16 p 2 − 25 ⋅ 12 p 2 + 13 p − 35 4 p 2 + 12 p + 9 ÷ 12 p 2 + 43 p + 35 2 p 2 − p − 6 .

Solution Summary: The author explains how to calculate the simplified value of the expression 2p2.

Concept explainers

Videos

To calculate: The simplified value of the expression 2p2−p−616p2−25⋅12p2+13p−354p2+12p+9÷12p2+43p+352p2−p−6.

Want to see the full answer?

Chapter 6 Solutions

To calculate: The simplified value of the expression

2p2−p−616p2−25⋅12p2+13p−354p2+12p+9÷12p2+43p+352p2−p−6.