Question
Factor the difference of two squares.
9 x squared minus 4
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Part 1
9 x squared minus 4equals
enter your response here
9 x squared minus 4
Question content area bottom
Part 1
9 x squared minus 4equals
enter your response here
Answers
Answered by
GPT-4o mini
To factor the difference of two squares for the expression \(9x^2 - 4\), we can recognize that it fits the form \(a^2 - b^2\), where \(a = 3x\) and \(b = 2\).
The difference of squares can be factored using the formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Applying this to the expression \(9x^2 - 4\):
1. Identify \(a\) and \(b\):
- \(a = 3x\)
- \(b = 2\)
2. Substitute into the factoring formula:
\[
9x^2 - 4 = (3x - 2)(3x + 2)
\]
Therefore, the factored form of \(9x^2 - 4\) is:
\[
(3x - 2)(3x + 2)
\]
The difference of squares can be factored using the formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Applying this to the expression \(9x^2 - 4\):
1. Identify \(a\) and \(b\):
- \(a = 3x\)
- \(b = 2\)
2. Substitute into the factoring formula:
\[
9x^2 - 4 = (3x - 2)(3x + 2)
\]
Therefore, the factored form of \(9x^2 - 4\) is:
\[
(3x - 2)(3x + 2)
\]