Factorize (4a+3)^2 -(3a-2)^2?

Answer 1

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Remark:

m² - n² = ( m - n ) ( m + n )
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( 4 a + 3 )² - ( 3 a - 2 )² = [ ( 4 a + 3 ) - ( 3 a - 2 ) ] ∙ [ ( 4 a + 3 ) + ( 3 a - 2 ) ] =

( 4 a + 3 - 3 a + 2 ) ∙ ( 4 a + 3 + 3 a - 2 ) = ( a + 5 ) ∙ ( 7 a + 1 )