Question #6454329Fill in the Blank
Algebra-1
Question
Factor the expression completely.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to recognize and factor a difference of squares, a key skill in Algebra-1.
This question tests the student's ability to recognize and factor a difference of squares, a key skill in Algebra-1.
Key Concept Explanation
The difference of squares formula is . In this problem, and are perfect squares.
The difference of squares formula is . In this problem, and are perfect squares.
Step-by-step Solution
1. 1. Extract the greatest common factor (GCF):
Observe that both terms in share a common factor of 25:
2. Identify the remaining expression as a difference of squares:
The simplified expression inside the parentheses, , consists of two perfect squares separated by a subtraction sign:
1. 1. Extract the greatest common factor (GCF):
Observe that both terms in share a common factor of 25:
2. Identify the remaining expression as a difference of squares:
The simplified expression inside the parentheses, , consists of two perfect squares separated by a subtraction sign:
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