can you help me with this problem
factor
45xsquared +60x+20
help me step by step please!!
$\displaystyle 45x^2+60x+20$
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!!