Math, asked by navyukarthik, 1 year ago

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Give me all the formula of 10th maths
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Answers

Answered by honey3648
0
IMPORTANT MATHS FORMULAE
Algebra:

(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)

x2 + y2  = 1212 [(x + y)2 + (x – y)2]

(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]

Powers:
amxan  = am+n
aman=am−naman=am−n
(am)n  =  amn
(ambn)p =   ampb np
a-m = 1am1am
amn=am−−−√namn=amn
Rules of Zero:
a1  = a
a0 = 1
a*0 = 0
a is undefined
Linear Equation:
Linear equation in one variable ax + b = 0, x = – −ba−ba
Quadratic Equation:  ax2 + bx + c  = 0  x  = −b±b2−4ac√2a−b±b2−4ac2a
Discriminant D = b2 – 4ac
Math Formulas:
When rate of discount is given Discount =   MP∗Rate of Discount 100
Simple Interest = PTR100PTR100 where P = Principal, T = Time in years R = Rate of interest per annum
Principal = 100∗S.IR∗T100∗S.IR∗T
Rate = 100∗S.IP∗T100∗S.IP∗T
Time = 100∗S.IP∗R100∗S.IP∗R
Principal = Amount – Simple Interest
Discount = MP – SP
Trigonometry:


Probability
P(E) =   Number of outcomes favorable to E
Total Number of Possible Outcomes
Mensuration



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