Which Of the following is a factor of 4-(x+y)^2?
A.-(x+y)^2
B.x+y
C.2-x+y
D.2+x+y
E.4+x+y
Top 2 Answers
Favorite Answer
D
In your original equation substitute z=(x+y) and then you have 4-z^2 which can be factored out to (2-z)(2+z)
Substitute z back in [2-(x+y)][2+(x+y)] which is (2-x-y)(2+x+y)
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formula:
a^2 – b^2 = (a-b) (a+b)
4 – (x+y)^2 =
2^2 – (x+y)^2 = (2 – x – y) (2+x +y)
where a = 2
b = (x+y)
so, C: is the answer
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