what is 2x(squared) + 7x-15

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4x(squared) - 9

2x^{2}+7x-15= 2x^{2}+10x-3x-15= 2x(x+5)-3(x+5)= (x+5)(2x-3)

4x^{2}-9 = (2x)^{2}-3^{2 }= (2x+3)(2x-3)

(2x^{2}+7x-15)/ (4x^{2}-9)= (x+5)(2x-3)/[ (2x+3)(2x-3)]= (x+5)/(2x+3) if 2x ≠ 3

Thus the answer is (x+5)/(2x+3)

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