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Simplify \( \Large \frac{ \left(a^{3}+b^{3}\right) \left(a^{2}-b^{2}\right) }{ \left(a^{2}-ab+b^{2}\right) \left(a-b\right) } \)
A) \( \Large \left(a+b\right)^{2} \)
B) \( \Large \left(a-b\right)^{2} \)
C) \( \Large \left(a+b\right) \left(a-b\right) \)
D) None of these
Correct answer:
A) \( \Large \left(a+b\right)^{2} \)
Description for Correct answer:
\( \Large \frac{ \left(a^{3}+b^{3}\right) \left(a^{2}+b^{2}\right) }{ \left(a^{2}-ab+b^{2}\right) \left(a-b\right) } = \frac{ \left(a+b\right) \left(a^{2}-ab+b^{2}\right) \left(a+b\right) \left(a-b\right) }{ \left(a^{2}-ab+b^{2}\right) \left(a-b\right) } \)
=\( \Large \left(a+b\right) \left(a+b\right) = \left(a+b\right)^{2} \)
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