Answer
$$(2x-3)(2x-3)$$
or
$$(2x-3)^{2}$$
Work Step by Step
$4x^{2}-12x+9$
Step 1
This is the a perfect-square trinomial; so to solve it just take the square root of the 1st and 3rd terms.
$\sqrt {4x^{2}}=2x$
$\sqrt {c^{2}}=3$
Step 2
To find the signs in the parenthesis, just copy the sign from the 2nd term.
Step 3
Write the solution.
$(2x-3)(2x-3)$
