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

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Question 998842: Factor the difference of two squares.
(2x + 5)^2 − (x − 4)^2
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(2x + 5)^2 − (x − 4)^2
compute the squares
4x^2 +20x +25 - (x^2 -8x +16)
now distribute - sign
4x^2 +20x +25 -x^2 +8x -16
combine terms
3x^2 +28x +9
factor polynomial
(3x+1) * (x+9)

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Factor the difference of two squares.
(2x + 5)^2 − (x − 4)^2
%282x+%2B+5%29%5E2+-+%28x+-+4%29%5E2

[(2x + 5) - (x - 4)][(2x + 5) + (x - 4)]

(2x + 5 - x + 4)(2x + 5 + x - 4)

(2x - x + 5 + 4)(2x + x + 5 - 4)

highlight_green%28%28x+%2B+9%29%283x+%2B+1%29%29