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Showing posts with label maths. Show all posts
Showing posts with label maths. Show all posts

Tuesday, January 18, 2022

Measurement 01

 

MEASUREMENT

In Mathematics, measurement is the main things, which is used to done a work. Each and every work is to be desingned by the dimensions. To make a grand look and Jobs to be done.Let's look at it.

 In Length 

1 Kilometer (km)

= 10 Hectometer (hm)

 

1 Hectometer (hm)        

= 10 Dekameter (dam)

 

1 Dekameter (dam)

= 10 Meter (m)

 

1 Meter (m)

= 10 Decimeters (dm)

1 Decimeters (dm)

= 10 Centimeters (cm)

 

1 Centimeters (cm)

= 10 Millimeters (mm)

Maths Formulas 01

  

Algebraic Formulas:

        These are all some of the basics formulas which is used to be make a function and find the solutions for most critical problems.

These are all the necessary things, which can be remember by all.

Ø  (a+b)= a+ b+ 2ab

Ø  (a-b)= a+ b– 2ab

Ø  (a+b) (a-b) = a– b2

Ø  (x + a)(x + b) = x2 + (a + b)x + ab

Ø  (x + a)(x – b) = x2 + (a – b)x – ab

Ø  (x – a)(x + b) = x2 + (b – a)x – ab

Ø  (x – a)(x – b) = x2 – (a + b)x + ab

Ø  (a + b)3 = a3 + b3 + 3ab(a + b)

Ø  (a – b)3 = a3 – b3 – 3ab(a – b)

Ø  (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz

Ø  (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz

Ø  (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz

Ø  (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz

Ø  x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)

Ø  x+ y2 =½ [(x + y)2 + (x – y)2]

Ø  (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc

Ø  x3 + y3= (x + y) (x2 – xy + y2)

Ø  x3 – y3 = (x – y) (x2 + xy + y2)

Ø  x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

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