Algebra
Algebra
, I think so every body will be familier with this topic either in maths or somewhere else.
So Today I will give you the identities which are there in your trignometry chapter.
So Lets go,
Identities
(a + b)
2
= a
2
+ 2ab + b
2
(a – b)
2
= a
2
– 2ab + b
2
(a + b) (a – b) = a
2
– b
2
(a + b) (a – b) = a
2
– b
2
(x + a)(x – b) = x
2
+ (a – b)x – ab
(x – a)(x + b) = x
2
+ (b – a)x – ab
(x – a)(x – b) = x
2
– (a + b)x + ab
(a + b)
3
= a
3
+ b
3
+ 3ab(a + b)
(a – b)
3
= a
3
– b
3
– 3ab(a – b)
(x + y + z)
2
= x
2
+ y
2
+ z
2
+ 2xy + 2yz + 2xz
(x + y – z)
2
= x
2
+ y
2
+ z
2
+ 2xy – 2yz – 2xz
(x – y + z)
2
= x
2
+ y
2
+ z
2
– 2xy – 2yz + 2xz
(x – y – z)
2
= x
2
+ y
2
+ z
2
– 2xy + 2yz – 2xz
x
3
+ y
3
+ z
3
– 3xyz = (x + y + z)(x
2
+ y
2
+ z
2
– xy – yz - xz)
(x + a) (x + b) (x + c) = x
3
+ (a + b +c)x
2
+ (ab + bc + ca)x + abc
x
3
+ y
3
= (x + y) (x
2
– xy + y
2
)
x
3
– y
3
= (x – y) (x
2
+ xy + y
2
)
Laws
a
m
x a
n
= a
m+n
a
m
/ a
n
= a
m-n
(a
m
)
n
= a
mn
(a
m
b
n
)
p
= a
mp
b
n
p
Rules Of Zero
a
1
= a
a
0
= 1
a x 0 = 0
a is undefined
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