Question

Give the all identities related to chapter 2 in maths of class 9th

Answer 1

HEY MATE HERE IS YOUR ANSWER

$\rule {168} {2}$

$<b>$There are 8 identities :-

$<u><i>$1. (a+b) ^2 = a^2 + b^2 + 2ab

2. (a-b)^2 = a^2 - b^2 - 2ab

3.x^2 - y^2 = (x +y) (x-y)

4. (x +a) (x +b) = x^2 =(a+b) x +ab

5. (x + y +z) ^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx

6. (x +y) ^3 = x^3 + y^3 + 3xy (x+y)

7. (x-y) ^3 = x^3 - y^3 - 3xy(x-y)

8. x^3 + y^3 + z^3 - 3xyz =(x+y+z) (x^2 + y^2 + z^2 - xy- yz - zx)

$\rule {168} {2}$

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Ansh as ans81

Answer 2

(1) ( X + Y)² = X² + Y² + 2XY

(2) ( X - Y )² = X² + Y² - 2XY

(3) ( X + Y + Z )² = X² + Y² + Z² + 2XY + 2YZ + 2ZX.

(4) ( X + Y )³ = X³ + Y³ + 3XY ( X + Y ).

(5) ( X - Y )³ = X³ - Y³ - 3XY ( X - Y ).

(6) ( X² - Y² ) = ( X - Y ) ( X + Y ).

(7) ( X³ + Y³ ) = ( X + Y ) ( X² - XY + Y² ).

(8) ( X³ - Y³ ) = ( X - Y ) ( X² + XY + Y² ).


(9) ( X + Y + Z )² = X² + Y² + Z² + 2XY + 2YZ + 2ZX.



(10) ( X³ + Y³ + Z³ + 3XYZ ) = ( X + Y + Z - ZY - YZ - ZX).




(11) ( X + Y + Z ) = 0 => ( X³ + Y³ + Z³ ) = 3XYZ.