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Question
The G.C.D of x4 – y4 and x2 – y2 is
Options
x4 – y4
x2 – y2
(x + y)2
(x + y)4
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Solution
x2 – y2
Explanation;
Hint
x4 – y4 = (x2)2 – (y2)2
= (x2 + y2)(x2 – y2)
x2 – y2 = (x2 – y2)
G.C.D = x2 – y2
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