Question

factorise 8×^3+ √27 y^3​

Answer 1

Answer:

( 2x + 3y ) ( 4x² + 9y² - 6xy )

Step-by-step explanation:

To find ----> Factorise 8x³ + 27y³

Solution-----> We know that,

1) 8 = 2 × 2 × 2

= 2³

2) 27 = 3 × 3 × 3

= 3³

3) ( a³ + b³ ) = ( a + b ) ( a² + b² - ab )

Now , returning to original problem,

8x³ + 27 y³ = 2³ x³ + 3³ y³

= ( 2x )³ + ( 3y )³

= ( 2x + 3y ) { ( 2x )² + ( 3y )² - ( 2x ) ( 3y ) }

= ( 2x + 3y ) ( 4x² + 9y² - 6xy )