Question

express as a perfect square :4x^2-12x+9​

Answer 1

$4 {x}^{2} - 12x + 9$

$by \: {(x - y)}^{2} property$

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$= ( {2x)}^{2} - 2.2x.3 + {(3)}^{2}$

$= {(2x - 3)}^{2}$

Answer 2

Answer:

${4x}^{2} - 12x + 9 \\ {4x}^{2} - 6x - 6x + 9 \\ 2x (2x - 3) - 3(2x - 3) \\ {(2x - 3) }^{2}$