simplify mn(m^2-n^2)
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Answered by
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Answer:
We simplify the given expressions (m+n)(m
2
−mn+n
2
) as shown below:
(m+n)(m
2
−mn+n
2
)
=m(m
2
−mn+n
2
)+n(m
2
−mn+n
2
)
=m
3
−m
2
n+mn
2
+nm
2
−mn
2
+n
3
=m
3
+n
3
+(−m
2
n+m
2
n)+(mn
2
−mn
2
)(Combiningliketerms)
=m
3
+n
3
Hence, (m+n)(m
2
−mn+n
2
)=m
3
+n
3
.
Step-by-step explanation:
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