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Verified Answer :

（3/4X+3）+（21/8X²-14X-15)
=21/8X²-14X-3/4X-15+3
=21/8X²-13 1/4X-12

(3 / 4x + 3) + (21 / ( 4x + 3)(2x - 5)

= 3 (2x-5) / (4x + 3)(2x -5)  +  21 / (4x+ 3)(2x - 5)

= 6x - 15 + 21 / (4x+3)(2x - 5)

=  6x + 6  / (4x+ 3)(2x - 5)

= 6(x + 1) / (4x + 3)(2x - 5)

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