How do you factor by grouping #25v^2+60v+27#?

1 Answer
Apr 6, 2018

Answer:

#(5v+3)(5v+9)#

Explanation:

#color(white)(..)+color(green)(60)#
#color(white)(..)xx 675#
#* * * * * * #
#color(white)(.)1 color(white)(0)xx 675#
#color(white)(.)3 color(white)(0)xx 225#
#color(white)(.)5 color(white)(0)xx 135#
#color(white)(.)9 color(white)(0) xx 75#
#color(white)(.)15 xx 45# #=> color(red)(15)+color(red)(45) = color(green)(60)#

So we've got

#(25v^2 + color(red)(45)v) + (color(red)(15)v + 27)#

#5v(5v+9) + 3(5v+9)#

#(5v+3)(5v+9)#