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Question
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factor completely.
25 - 81x²
answer attempt 1 out of 2
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Step1: Recognize difference of squares
The expression $25 - 81x^2$ is a difference of squares, where $25 = 5^2$ and $81x^2 = (9x)^2$. The difference of squares formula is $a^2 - b^2 = (a-b)(a+b)$.
Step2: Apply difference of squares formula
Substitute $a=5$ and $b=9x$ into the formula:
$25 - 81x^2 = 5^2 - (9x)^2 = (5 - 9x)(5 + 9x)$
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$(5 - 9x)(5 + 9x)$