factorize it please
Answers
Answer:
( 2x + 3y ) ( 2x + 3y - 4 )
Step-by-step explanation:
Given---> ( 4x² + 12xy + 9y² - 8x - 12y )
To find---> Factors of given expression
Solution---> We know that
a² + 2 a b + b² = ( a + b )²
Now returning to original problem,
4x² + 12 xy + 9y² - 8x - 12 y
= ( 2x )² + 2 × 2x × 3y + ( 3y )² - 2× 4x - 3 × 4y
Applying above identity , we get
= ( 2x + 3y )² - 4 ( 2x + 3y )
Taking ( 2x + 3y ) common from both the terms, we get
= ( 2x + 3y ) { ( 2x + 3y ) - 4 }
= ( 2x + 3y ) ( 2x + 3y - 4 )
Addutional information--->
1) ( a - b )² = a² + b² - 2ab
2) ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca
3) a² - b² = ( a + b ) ( a - b )
4) ( a + b )³ = a³ + b³ + 3ab ( a + b )
5) ( a - b )³ = a³ - b³ - 3ab ( a - b )
Answer:
( 2x + 3y ) ( 2x + 3y - 4 )
Step-by-step explanation:
Given---> ( 4x² + 12xy + 9y² - 8x - 12y )
To find---> Factors of given expression
Solution---> We know that
a² + 2 a b + b² = ( a + b )²
Now returning to original problem,
4x² + 12 xy + 9y² - 8x - 12 y
= ( 2x )² + 2 × 2x × 3y + ( 3y )² - 2× 4x - 3 × 4y
Applying above identity , we get
= ( 2x + 3y )² - 4 ( 2x + 3y )
Taking ( 2x + 3y ) common from both the terms, we get
= ( 2x + 3y ) { ( 2x + 3y ) - 4 }