Answer
$4x^{2}-12x+9$
Work Step by Step
The standard form of a polynomial is
$a_{n}x^{n}+a_{n}x^{n-1}+\cdots+a_{1}x+a_{0}$
(written in order, highest degree first. If a term is missing, it means that the coefficient is 0)
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Use the perfect square formula $(A-B)^{2}=A^{2}-2AB+B^{2}$
$(2x-3)^{2}=(2x)^{2}-2\cdot(2x)\cdot 3+3^{2}$
= $4x^{2}-12x+9$