Question
(x+y)(x−y)(x2+y2) = ___________.
Answer: Option D
:
D
To simplify :(x+y)(x−y)(x2+y2)
Usingthe identity,
(a+b)(a−b)=a2−b2
we get,
(x+y)(x−y)(x2+y2)
=(x2−y2)(x2+y2)
Using the same identity again,
wherea=x2andb=y2,
we get,
(x2−y2)(x2+y2)
=(x2)2−(y2)2
=x4−y4
Was this answer helpful ?
:
D
To simplify :(x+y)(x−y)(x2+y2)
Usingthe identity,
(a+b)(a−b)=a2−b2
we get,
(x+y)(x−y)(x2+y2)
=(x2−y2)(x2+y2)
Using the same identity again,
wherea=x2andb=y2,
we get,
(x2−y2)(x2+y2)
=(x2)2−(y2)2
=x4−y4
Was this answer helpful ?
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