Question

Find the product using suitable identities
please fast it's urgent

( y - 6/y ) ( y^2 + 6 + 36 / y^2)​

Answer 1

Answer:

y³ - 216/y³

Step-by-step explanation:

( y - 6/y ) ( y² + 6 + 36 / y² )

It can be written as

= ( y - 6/y ) { y² + y( 6/y ) + ( 6/y )² }

Using algebraic identity a³ - b³ = ( a - b)( a² + ab + b² )

= y³ - ( 6/y )³

Using laws of exponents ( a/b)^m = a^m / b^m

= y³ - 6³/y³

= y³ - 216/y³

Answer 2

Given :  ( y - 6/y) (y²  + 6 + 36/y²)

To Find : product using suitable identities

Solution:

( y - 6/y) (y²  + 6 + 36/y²)

36/y²  can be written as  (6/y)²

=  ( y - 6/y) (y²  + 6 + (6/y)²)

6 can be written as   y * 6/y

=  ( y - 6/y) (y²  + y*6/y + (6/y)²)

(a - b)(a² + ab + b²) = a³ - b³

a = y

b = 6/y

=  y³ - (6/y)³

= y³ - 216/y³

( y - 6/y) (y²  + 6 + 36/y²) = y³ - 216/y³

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