SOLUTION: BONUS: Factor x² - 4x + 4 – 9y².

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Question 322686: BONUS: Factor x² - 4x + 4 – 9y².
Answer by CharlesG2(834) About Me  (Show Source):
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BONUS: Factor x² - 4x + 4 – 9y².
x^2 - 4x + 4 - 9y^2
(x - 2)^2 - (3y)^2
note: (x - 2)(x - 2) using FOIL equals x^2 - 4x + 4
(x - 2 + sqrt(3)y)(x - 2 - sqrt(3)y)
check by distributing:
x^2 - 2x - sqrt(3)xy -2x + 4 + 2sqrt(3)y + sqrt(3)xy - 2sqrt(3)y - 9y^2
x^2 - 2x - 2x - sqrt(3)xy + sqrt(3)xy + 4 - 9y^2
x^2 - 4x + 4 - 9y^2