can you help me with this problem

factor

45xsquared +60x+20

help me step by step please!!

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- May 29th 2008, 04:45 PMchris211help in factoring
can you help me with this problem

factor

45xsquared +60x+20

help me step by step please!! - May 29th 2008, 04:58 PMChris L T521
$\displaystyle 45x^2+60x+20$

I would first pull out a common factor of 5:

$\displaystyle 5(9x^2+12x+4)$

$\displaystyle 5({\color{green}9x^2+6x}+{\color{blue}6x+4})$

Pull out a 3x from the first term, and a 2 from the second:

$\displaystyle 5\left(3x({\color{red}3x+2})+2({\color{red}3x+2})\ right)$

$\displaystyle 5(3x+2)(3x+2)=\color{red}\boxed{5(3x+2)^2}$

Hope this makes sense!! :D