Answer: the value of 4(3x)^2/(2x)^2 when x is not equal to zero is 9.
Step-by-step explanation:To find the value of 4(3x)^2/(2x)^2 when x is not equal to zero, we can simplify the expression step by step.
Let's start by simplifying the numerator, (3x)^2:
(3x)^2 = 3^2 * x^2 = 9x^2
Now, let's simplify the denominator, (2x)^2:
(2x)^2 = 2^2 * x^2 = 4x^2
Now, we can substitute these simplified expressions back into the original expression:
4(3x)^2/(2x)^2 = 4(9x^2)/(4x^2)
Next, we can simplify further by canceling out the common factors between the numerator and the denominator:
4(9x^2)/(4x^2) = (4/4)(9x^2/x^2) = 9
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