Answer:
3x-2
Step-by-step explanation:
[tex]9x^{2} -12x+4[/tex] can be factored using the perfect square rule into [tex](3x-2)^{2}[/tex]
and
[tex]9x^{2}-4[/tex] can be factored by using the difference of squares formula into [tex](3x+2)(3x-2)[/tex]
Both can be factored by (3x-2) so it is a common factor.
Hence, there are no common factors between the two equations.
factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
given equation is [tex]9x^2-4[/tex]
solving for x,
[tex]9x^2=4\\x^2=\frac{9}{4} \\x=\frac{3}{2}, -\frac{3}{2}[/tex]
putting values of x in equation 1,
x = [tex]\frac{3}{2}[/tex],
[tex]\frac{81}{4}-12.\frac{3}{2}+4\\ \frac{25}{4}[/tex]Therefore, 3/2 is not a common factor
x=[tex]-\frac{3}{2}[/tex],
[tex]\frac{81}{4}+12.\frac{3}{2}+4\\ \frac{169}{4}[/tex]Therefore, -3/2 is not a common factor
Hence, there are no common factors between the two equations.
To learn more about factors: https://brainly.com/question/1892656
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