the factor of 4×^2-9 are
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Step-by-step explanation:
4 x 2 − 9
Rewrite
4 x 2 as ( 2 x ) 2 . ( 2 x) 2 − 9
Rewrite
9 as 3 2 . ( 2 x ) 2 − 3 2
Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = (a + b ) ( a − b )
where
a = 2 x
and
b = 3 . ( 2 x + 3 ) ( 2 x − 3 )
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