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Algebraic Formulas for Class 9 & 10 (1) (1 )
(a + b)
2
=
a
+b +
=
a
+
2
2ab
2
2
2a
+
2
(2) (2 )
(a − b)
2
=
a
+b −
=
a
−
2
2ab
2
2
2a
2
+
(3) (3 )
(a + b)(a − b) = a
−b
2
2
(4) (4 )
( x + a)( x + b) = x
2
x( a + b) + ab
+
(5) (5 )
(a + b)
2
=
( a − b)
2
+
4ab
−
4ab
(6) (6 )
(a − b)
2
=
(a + b)
2
(7) (7 )
(a + b + c)
2
=
a
=
a
2
2
+b + 2
2
+
c
2ab + 2bc + 2ca + c + 2( a + b + ca) 2
+
2
(8) (8 )
(a + b)
3
3a b + 3ab = a + b + 3ab(a + b)
=
a
3
3
+b + 3
2
2
3
(9) (9 )
(a − b)
3
3a b + 3ab = a − b − 3ab( a − b)
=
a
3
3
−b
3
2
2
3
(10)
a
3
+b = 3
(a + b)(a
+b −
2
2
ab)
(11)
a
3
−b = 3
( a − b)(a
2
+
b
2
+
ab)
(12)
a
3
+b +c − 3
3
3abc = ( a + b + c)(a
2
+
b
2
+
By: Mohammad Waqar Shahid S hahid
[email protected]
c
2
−
ab − bc − ca)
