Important Algebra
Formulas
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Square Formula
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1
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(a + b )2
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a2+2ab+b2
Or
(a-b)2 + 4ab
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2
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(a - b )2
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a2-2ab+b2 Or (a+b)2-4ab
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3
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a2 + b2
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(a+b)2 -2ab Or (a-b)2 +2ab
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4
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a 2 - b2
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(a+b)
(a-b)
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5
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2 (a2 + b2 )
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(a+b)2 +
(a-b)2
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6
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(a + b + c)2
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a2 +
b2 + c2 + 2a.b + 2b.c + 2c.a
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7
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(a – b - c)2
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a2 +
b2 + c2 - 2a.b + 2b.c - 2c.a
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8
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(a + b – c)2
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a2 +
b2 + c2 + 2ab -2bc-2ca
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CUBE FORMULA
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1
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(a + b)3
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a3+b3+ 3ab(a + b) Or (a3+3a2b+3ab2+b3)
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2
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(a – b)3
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a3 - b3 – 3ab(a - b) Or (a3-3a2b+3ab2-b3)
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3
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a3 + b 3
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(a+b) (a2-ab+b2) Or (a+b)3- 3ab(a+b)
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4
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a3 –
b3
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(a-b) (a2+ab+b2) Or (a-b)3+ 3ab(a-b)
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5
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(a + b + c)3
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a3 + b3 +
c3 + 3(a + b) (b + c) (c + a)
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6
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a3 + b3 + c3 –
3.a.b.c
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(a + b + c) (a2 + b2 +
c2 – ab – bc – ca)
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SURDS AND INDICES FORMULA
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1
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an × am
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am+n
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2
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am/an
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am-n
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3
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( an )m
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amn
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4
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(ab)n
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an × bn
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5
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(a/b)n
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an/bn
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6
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a0
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1 Where a ≠ 0
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7
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a-n
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1/an
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