Question

all formula of class 10 in math ncert​

Answer 1

Answer:

The Maths formulas for class 10 are the general formulas which are not only crucial for class 10 but also form the base for higher-level maths concepts. The maths formulas are also important in various higher education fields like engineering, medical, commerce, finance, computer science, hardware etc. Even in almost every industry, the most common formulas introduced in class 10 are used.

The class 10 maths formulas include formulas related to real numbers, polynomials, quadratic equations, triangles, circles, statistics, probability, etc. These maths formulas will be extremely helpful for students to be able to solve questions more accurately and quickly.

Step-by-step explanation:

Algebraic formulas:

   (a+b)2 = a2 + b2 + 2ab

   (a-b)2 = a2 + b2 – 2ab

   (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 =½ [(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 = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Basic formulas for powers

   pm x pn = pm+n

   {pm}⁄{pn} = pm-n

   (pm)n = pmn

   p-m = 1/pm

   p1 = p

   P0 = 1

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