Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the form of the expression
The expression $$36x^{2} - 49$$ is a difference of squares, which suggests we can factor it using the difference of squares formula: $$a^{2} - b^{2} = (a+b)(a-b)
Step 3:: Rewrite the expression to match the difference of squares pattern
- $$49$$ can be written as $$7^{2}
First, find the perfect square terms:
Step 4:: Apply the difference of squares formula
36x^{2} - 49 = (6x)^{2} - 7^{2}
= (6x + 7)(6x - 7)
Final Answer
Note: This is the completely factored form, as neither factor can be further factored.
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