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