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Algebra
Friday 1st of January 2016
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This is an important part of simplification. In which some difficult problem are solved by using the algebraic formula
IMPORTANT FORMULA
1.
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
=
(
a
-
b
)
2
+
4
a
b
2.
(
a
-
b
)
2
=
a
2
-
2
a
b
+
b
2
=
(
a
+
b
)
2
-
4
a
b
3.
a
2
+
b
2
=
(
a
+
b
)
2
+
(
a
-
b
)
2
2
4.
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
5.
(
a
+
b
)
3
=
a
3
+
b
3
+
3
a
b
(
a
+
b
)
6.
(
a
-
b
)
3
=
a
3
-
b
3
-
3
a
b
(
a
-
b
)
7.
a
3
+
b
3
=
(
a
+
b
)
(
a
2
-
a
b
+
b
2
)
8.
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
9.
a
b
=
(
a
+
b
)
2
-
(
a
-
b
)
2
4
10.
(
a
+
b
+
c
)
2
=
a
2
+
b
2
+
c
2
+
2
(
a
b
+
b
c
+
c
a
)
11.
a
3
+
b
3
+
c
3
-
3
a
b
c
=
(
a
+
b
+
c
)
(
a
2
+
b
2
+
c
2
-
a
b
-
b
c
-
c
a
)
12.
i
f
a
+
b
+
c
=
0
,
t
h
e
n
a
3
+
b
3
+
c
3
=
3
a
b
c
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