Question

factoris as soon as possible​

Answer 1

Answer:

9 x y² ( x - 3 y )

Step-by-step explanation:

Given---> 9 x² y² - 27 x y³

To find---> Factorize given expression

Solution---> 9 x² y² - 27 x y³

= 9 x× x × y × y - 9 × 3 × x × y × y × y

Taking 9xy² common from both the terms , we get,

= 9 x × y × y ( x - 3 y )

= 9 x y² ( x - 3 y )

Additional identities--->

1) a² - b² = ( a + b ) ( a - b )

2) ( a + b )² = a² + b² + 2ab

3) ( a + b )³ = a³ + b³ + 3 ab ( a + b )

4) ( a - b )² = a² + b² - 2ab

5) ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

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

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

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