How do you factor #9x^2+30xy+25y^2#?

1 Answer
Richard G.
Mar 13, 2018

#(3x+5y)(3x+5y)#

Explanation:

Start by factoring the first expression, #9x^2#

There are two possibilities for the 9, either #9*1# or #3*3# and one possibility for the #x^2#, only #x*x#

Factoring the last expression #25y^2# also has few possibilities, #25*1 or 5*5#, and #y*y#

The standard equation is #x^2+2xy+y^2#, and #2*3*5=30# so the solution is #(3x+5y)(3x+5y)#

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