Answer:
(3x - 2)(3x + 2)
Step-by-step explanation:
9x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9x² - 4
= (3x)² - 2²
= (3x - 2)(3x + 2) ← in factored form
Expressions can be reduced to the lowest term by factoring them.
The factored form of [tex]\mathbf{9x^2 - 4}[/tex] is [tex]\mathbf{ (3x+2)(3x - 2)}[/tex]
The expression is given as:
[tex]\mathbf{9x^2 - 4}[/tex]
Express 9 and 4 as squares
[tex]\mathbf{9x^2 - 4 = (3x)^2 - 2^2}[/tex]
Apply the difference of two squares
[tex]\mathbf{9x^2 - 4 = (3x+2)(3x - 2)}[/tex]
Hence, the factored form of [tex]\mathbf{9x^2 - 4}[/tex] is [tex]\mathbf{ (3x+2)(3x - 2)}[/tex]
Read more about factored expressions at:
https://brainly.com/question/19386208
