Factor this expression as a difference of squares. 4-(2a+3b)^2

 4 −Write 4 in the under rooted form 
= ( 2 )² − ( 2a + 3b )² 

Factorise as the difference of 2 squares = a² − b² = ( a + b )( a − b ) 
= [ 2 + ( 2a + 3b ) ][ 2 − ( 2a + 3b ) ] 
= ( 2 + 2a + 3b )( 2 - 2a - 3b ) 

Arrange 
= ( 2a + 3b + 2 )( 2 − 2a − 3b )  ( 2a + 3b )²     YOUR WELCOME

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