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Mathematics
Problem
Simplify the expression
(
a
+
b
)
3
−
(
a
−
b
)
3
(
a
+
b
)
2
+
(
a
−
b
)
2
\dfrac{(a+b)^3 - (a-b)^3}{(a+b)^2 + (a-b)^2}
(
a
+
b
)
2
+
(
a
−
b
)
2
(
a
+
b
)
3
−
(
a
−
b
)
3
to its simplest form. a)
3
b
3b
3
b
b)
b
(
3
a
2
−
b
2
)
a
2
+
b
2
\displaystyle \frac{b(3a^{2}-b^{2})}{a^{2}+b^{2}}
a
2
+
b
2
b
(
3
a
2
−
b
2
)
c)
b
(
3
a
2
+
b
2
)
a
2
\displaystyle \frac{b(3a^{2}+b^{2})}{a^{2}}
a
2
b
(
3
a
2
+
b
2
)
d)
b
(
3
a
2
+
b
2
)
a
2
+
b
2
\displaystyle \frac{b(3a^{2}+b^{2})}{a^{2}+b^{2}}
a
2
+
b
2
b
(
3
a
2
+
b
2
)
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