Question

(8x)^3 - (2x-y)^3 factorise this

Answer 1

(8x×8x×8x)-(2x×2x×2x-y×y×y)
(512x)-(8x-3y)
512x-8x+3y
504x+3y


hope this helps you

mark brainliest

Answer 2

Answer:

Step-by-step explanation:

Given an algebraic equation :

.

8x^3 - ( 2x - y )^3

.

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

.

use identity:

----------------

.

a^3 - b^3

------------

.

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

.

here we have ,

.

a = 2x , b = (2x - y )

so now put the value of a and b in above identity :

.

(2x)^3 - ( 2x - y )^3

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= [2x - (2x - y)] [( 2x)^2 + 2x ( 2x - y ) + (2x- y)^2]

.

= (2x - 2x + y)( 4x^2 + 4x^2 - 2xy + 4x^2 + y^2 - 4xy )

.

= y ( 12x^2 + y^2 - 6xy )

.

= y [ 12x^2 + y ( y - 6x ) ]