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Mathematics
Mathematics
Problem
Simplify
(
2
a
−
3
b
+
c
)
⋅
(
a
+
4
b
−
2
c
)
(2\mathbf{a}-3\mathbf{b}+\mathbf{c})\cdot(\mathbf{a}+4\mathbf{b}-2\mathbf{c})
(
2
a
−
3
b
+
c
)
⋅
(
a
+
4
b
−
2
c
)
and express the result solely in terms of
a
⋅
a
\mathbf{a}\cdot\mathbf{a}
a
⋅
a
,
b
⋅
b
\mathbf{b}\cdot\mathbf{b}
b
⋅
b
,
c
⋅
c
\mathbf{c}\cdot\mathbf{c}
c
⋅
c
,
a
⋅
b
\mathbf{a}\cdot\mathbf{b}
a
⋅
b
,
b
⋅
c
\mathbf{b}\cdot\mathbf{c}
b
⋅
c
and
c
⋅
a
\mathbf{c}\cdot\mathbf{a}
c
⋅
a
.
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