Question

(a-b)^3 solve this question​

Answer 1

Answer:

a^3 - b^3 - 3ab( a - b )

Step-by-step explanation:

We are given with ( a - b )^3.

  As we know x^3 can also be written as x( x^2 ).

Similarly :

⇒ ( a - b )^3

⇒ ( a - b )( a - b )^2

⇒ ( a - b )[ ( a - b )( a - b ) ]

⇒ ( a - b )[ a^2 - ab - ba + b^2 ]

⇒ ( a - b )[ a^2 - 2ab + b^2 ]

     Solving parenthesis :

⇒ a( a^2 - 2ab + b^2 ) - b( a^2 - 2ab + b^2 )

⇒ a^3 - 2ba^2 + ab^2 - ba^2 + 2ab^2 - b^3

⇒ a^3 - b^3 - 3ba^2 + 3ab^2

⇒ a^3 - b^3 + 3ab^2 - 3ba^2

⇒ a^3 - b^3 + 3ab( b - a )

⇒ a^3 - b^3 - 3ab( a - b )

   Hence,  

  ( a - b )^3 = a^3 - b^3 - 3ab( a - b )

Answer 2

Answer:

Hope this was helpful to you

Step-by-step explanation:

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