Show that 9x2 - 30x + 25 is a perfect square.

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Question 17:
Show that $9x^2 - 30x + 25$ is a perfect square.

A perfect square trinomial has the form $(ax \pm b)^2 = (ax)^2 \pm 2(ax)(b) + b^2$.
We can rewrite the given expression:

$$9x^2 - 30x + 25$$

Step 1: Identify the square roots of the first and last terms.
The first term is $9x^2$, which is $(3x)^2$. So, $a = 3x$.
The last term is 25, which is $(5)^2$. So,