Concept explainers
To calculate: The simplified form of the expression
Answer to Problem 48WE
The simplified form of the expression
Explanation of Solution
Given information:
The expression
Formula used:
Fractions are multiplied as
To factor a polynomial split the middle term in such a way that sum of two numbers is the middle term and product of two numbers is same is product of first and last term.
Calculation:
Consider the expression
Take the trinomial
Recall that to factor a polynomial split the middle term in such a way that sum of two numbers is the middle term and product of two numbers is same is product of first and last term.
Rewrite the trinomial and take out the common terms,
Take the term
Rewrite the original expression as,
Take the binomial
Recall that difference of square of two numbers a and bis
Apply it,
Strike off the similar terms,
Recall that fractions are multiplied as
Apply it,
Thus, the simplified form of the expression
Chapter 6 Solutions
Algebra: Structure And Method, Book 1
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