Answer
[tex]\text{The value of }\frac{4(3x)^2}{(2x)^2}\text{ is 9}[/tex]
Step-by-step explanation:
[tex]\begin{gathered} \text{Given that }\frac{4(3x)^2}{(2x)^2} \\ \text{Open the parentheses} \\ =\text{ }\frac{4(9x^2)}{4x^2} \\ =\text{ }\frac{4\cdot\text{ 9 }\cdot x^2}{4\cdot x^2} \\ \\ =\text{ }\frac{4\cdot\text{ 9}}{4} \\ =\frac{36}{4} \\ =\text{ 9} \\ \text{Hence, the value is 9} \end{gathered}[/tex]
