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

Question

anonymous · Answer

$x^2-y^2=(x+y)(x-y)$ make a direct substitution with $x=2, y=2a+3b$

parthkohli · Answer

$ \color{Black}{\Rightarrow a^2 - b^2 = (a + b) (a - b)}$

$ \color{Black}{\Rightarrow 2^2 - (2a + 3b)^2 = ....?}$

anonymous · Answer

You guys are ALWAYS the first to answer.

anonymous · Answer

Im terrible at math.. Please help me... :(

saranya · Answer

4 − ( 2a + 3b )²

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 )

anonymous · Answer

so the answer is...??

anonymous · Answer

(2a + 3b + 2)(2 - 2a - 3b)
Oh my, you are terrible at math.