The factored expression of \(4x^2 - 81\) is \((2x - 9)(2x + 9)\)
The expression is given as:
\(4x^2 - 81\)
Express 4 as the square of 2.
So, we have:
\(2^2x^2 - 81\)
Rewrite the expression as:
\((2x)^2 - 81\)
Express 81 as the square of 81
\((2x)^2 - 9^2\)
Rewrite the expression as the difference of two squares
\((2x - 9)(2x + 9)\)
Hence, the factored expression of \(4x^2 - 81\) is \((2x - 9)(2x + 9)\)
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