(a + b)^3 - (a - b)^3
Answers
Answered by
1
4ab²+2a²b is the answer
Answered by
0
Answer:
Step-by-step explanation:
(
a
+
b
)
3
−
(
a
−
b
)
3
=
(
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
)
−
(
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
=
6
a
2
b
+
2
b
3
=
2
b
(
3
a
2
+
b
2
)
If you are allowed complex coefficients this can be broken down into linear factors:
=
2
b
(
√
3
a
+
i
b
)
(
√
3
a
−
i
b
)
Notice also that:
(
a
+
b
)
3
+
(
a
−
b
)
3
=
(
b
+
a
)
3
−
(
b
−
a
)
3
=
2
a
(
3
b
2
+
a
2
)
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