a.
To verify: The algebraic expression
a.
Explanation of Solution
Given information:
The algebraic expression
Formula used:
The special factoring formula for perfect square which is mathematically expressed as,
Proof:
Consider the function,
The right hand side of the equation is,
Since, left hand side and right hand side are equal, therefore, the algebraic expression
b.
To verify: The algebraic expression
b.
Explanation of Solution
Given information:
The algebraic expression
Formula used:
The special factoring formula for difference of squares, which is mathematically expressed as,
Proof:
Consider the equation,
The left hand side of equation is,
Since, left hand side and right hand side are equal, therefore, the algebraic expression
c.
To verify: The algebraic expression
c.
Explanation of Solution
Given information:
The algebraic expression,
Formula used:
The special factoring formula for perfect square which is mathematically expressed as,
Proof:
Consider the equation,
The right hand side of the equation is,
Group the terms to take out common factors and simplify it further as,
Since, left hand side and right hand side are equal, therefore, the algebraic expression
d.
To calculate: The factor of the expression
d.
Answer to Problem 129E
The factor of the expression
Explanation of Solution
Given information:
The expression
Formula used:
To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.
Calculation:
Consider the given expression
Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.
So,
Simplify it further as,
Thus, the common factor of the expression
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning