2.
Expand using suitable identities. (3a-b-c)^2
Answers
Answered by
0
Simplify
(
3
a
−
b
−
c
)
2
Rewrite
(
3
a
−
b
−
c
)
2
as
(
3
a
−
b
−
c
)
(
3
a
−
b
−
c
)
.
(
3
a
−
b
−
c
)
(
3
a
−
b
−
c
)
Expand
(
3
a
−
b
−
c
)
(
3
a
−
b
−
c
)
by multiplying each term in the first expression by each term in the second expression.
3
a
(
3
a
)
+
3
a
(
−
b
)
+
3
a
(
−
c
)
−
b
(
3
a
)
−
b
(
−
b
)
−
b
(
−
c
)
−
c
(
3
a
)
−
c
(
−
b
)
−
c
(
−
c
)
Simplify each term.
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9
a
2
−
3
a
b
−
3
a
c
−
3
b
a
+
b
2
+
b
c
−
3
c
a
+
c
b
+
c
2
Subtract
3
b
a
from
−
3
a
b
.
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9
a
2
−
6
a
b
−
3
a
c
+
b
2
+
b
c
−
3
c
a
+
c
b
+
c
2
Subtract
3
c
a
from
−
3
a
c
.
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9
a
2
−
6
a
b
+
b
2
+
b
c
−
6
a
c
+
c
b
+
c
2
Add
b
c
and
c
b
.
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9
a
2
−
6
a
b
+
b
2
+
2
b
c
−
6
a
c
+
c
2
Move
2
b
c
.
9
a
2
−
6
a
b
+
b
2
−
6
a
c
+
2
b
c
+
c
2
Move
b
2
.
9
a
2
−
6
a
b
−
6
a
c
+
b
2
+
2
b
c
+
c
2
Answered by
4
Answer:
9a² -6ab +b² -6ac +2bc +c²
Step-by-step explanation:
(3a - b - c)²
={(3a-b) -c}²
=(3a-b)² -2(3a-b) c + c²
=9a² -6ab +b² -6ac +2bc +c²
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