Concept explainers
a.
To check if the polynomial is a difference of two squares.
a.
Answer to Problem 54PFA
Yes
Explanation of Solution
Given:
Expression:
Concept used:
Difference of squares:
Calculation:
Consider the given equation,
Trying to apply difference of squares,
Conclusion:
Therefore, the given expression is a difference of squares.
b.
To factor the given expression.
b.
Answer to Problem 54PFA
Explanation of Solution
Given:
Expression:
Concept used:
Difference of squares:
Calculation:
Consider the given equation,
Trying to apply difference of squares,
Conclusion:
Therefore, the factor of the expression is
c.
To explain the pattern used to factor.
c.
Answer to Problem 54PFA
Difference of squares
Explanation of Solution
Given:
From subpart (a),
Calculation:
The pattern used is difference of squares.
Conclusion:
Difference of squares is used.
d.
To write in a completely factored form.
d.
Answer to Problem 54PFA
Explanation of Solution
Given:
Expression:
Concept used:
Difference of squares
Calculation:
Therefore, from subpart (b),
Applying difference of squares to
The completely factored form is
Conclusion:
The completely factored form is
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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