Important formula for
Real Number(class 10)
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- (a + b) (a – b) = a2 – b2
- (x + a)(x + b) = x2 + (a
+ b)x + ab
- (x + a)(x – b) = x2 + (a
– b)x – ab
- (x – a)(x + b) = x2 + (b
– a)x – ab
- (x – a)(x – b) = x2 –
(a + b)x + ab
- (a + b)3 = a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – b3 – 3ab(a – b)
- (x + y + z) 2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
- (x + y – z) 2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
- (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
- (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
- x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
- (x + a) (x + b) (x + c) = x3 +
(a + b +c)x2 + (ab + bc + ca)x + abc
- x3 + y3 = (x + y) (x2 – xy + y2)
- x3 – y3 = (x – y) (x2 + xy + y2)
- x2 + y2 + z2 -xy – yz – zx = 1212 [(x-y)2 +
(y-z)2 + (z-x)2]
Nice bro.
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