SOLUTION: Fill in the blank so that 4x^2+____ x+25 is a perfect square trinomial

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Question 925724: Fill in the blank so that 4x^2+____ x+25 is a perfect square trinomial
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2+ 20x+25 = (2x+5)(2x+5) = (2x+5)^2
...
F First terms
O Outside terms
I Inside terms
L Last terms

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2%2B____+x%2B25+
%282x%29%5E2%2B____+x%2B5%5E2+....here we have square of the sum of two terms:%28a%2Bb%29%5E2=a%5E2%2B2%2Aa%2Ab%2Bb%5E2
since coefficient next to x must 2ab, ans since a=2 and b=5, we have 2ab=2%2A2%2A5=20
%282x%29%5E2%2B20x%2B5%5E2+
%282x%2B5%29%5E2+
%282x%2B5%29%282x%2B5%29+