How do you factor completely: #16x^2 + 40x + 25#?

Question

16017 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-24T01:10:30

This is recognisable as a perfect square trinomial:

#16x^2+40x+25 = (4x+5)^2#

Perfect square trinomials are of the form:

#a^2+2ab+b^2 = (a+b)^2#

In our case #a=4x# and #b=5# ...

#16x^2+40x+25#

#=(4x)^2+(2*(4x)*5)+5^2#

#=(4x+5)^2#