Question

4x2-9 /2x-3 simplest from of

Answer 1

2x+3 this is the simplest form

Answer 2

$Simplest \:form \: of \: \frac{4x^{2} - 9 }{2x - 3 }$

$= \frac{ (2x)^{2} - 3^{2}}{(2x-3)}$

$= \frac{ \cancel {(2x-3)}(2x+3) }{\cancel { (2x-3)}}$

/* By Algebraic Identity */

$\boxed{\pink{ a^{2} - b^{2} = ( a + b )( a - b ) }}$

$= 2x + 3$

Therefore.,

$\red{Simplest \:form \: of \: \frac{4x^{2} - 9 }{2x - 3 } }$

$\green { = 2x + 3 }$

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