SOLUTION: Factor the difference of two squares. (2x + 5)^2 − (x − 4)^2

Algebra ->  Expressions-with-variables -> SOLUTION: Factor the difference of two squares. (2x + 5)^2 − (x − 4)^2      Log On


   

Question 998847: Factor the difference of two squares.
(2x + 5)^2 − (x − 4)^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%282x+%2B+5%29%5E2+-+%28x+-+4%29%5E2....recall:a%5E2+-+b%5E2=%28a-b%29%28a%2Bb%29
in your case a=%282x+%2B+5%29 and b=%28x+-+4%29; so, you have
%28%282x+%2B+5%29+-+%28x+-+4%29%29%28%282x+%2B+5%29+%2B%28x+-+4%29%29
%282x+%2B+5+-+x+%2B4%29%282x+%2B+5+%2Bx+-+4%29
%28x+%2B+9%29%283x+%2B+1%29