Math, asked by akshayjustin123, 1 year ago

give me all the major formulas of all the chapters in maths cbse 10th standard. You could get 40 points

Answers

Answered by Anonymous
4
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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]

✍️ 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

✍️ Important formula of Powers:

amxan  = am+n

(am)n  =  amn


(ambn)p =   ampb np


a-m = 1/a^m




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