SOLUTION: BONUS: Factor x� - 4x + 4 � 9y�.

Question 322686: BONUS: Factor x� - 4x + 4 � 9y�.
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
BONUS: Factor x� - 4x + 4 � 9y�.
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

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