SOLUTION: Factor the following expression completely. x^2 - 8x + 16 - 9y^2

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Question 317068: Factor the following expression completely.
x^2 - 8x + 16 - 9y^2
Found 2 solutions by nyc_function, MathTherapy:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 - 8x + 16 - 9y^2
Separate into two polynomials and factor individually.
x^2 - 8x = x(x - 8) after factoring.
16 - 9y^2 = (4 - 3y)(4 + 3y) after factoring.
Answer: x(x - 8)(4 - 3y)(4 + 3y)
Notice that the answer yields 4 factors. Do you see all four factors?

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the following expression completely.
x^2 - 8x + 16 - 9y^2

(x^2 – 8x + 16) – 9y^2 ------> (x – 4)^2 – (3y)^2 -------> [(x – 4) – 3y][(x – 4) + 3y] -----> (x – 4 - 3y)(x – 4 + 3y)

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