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What is the simplified form of 3 over 2x minus 5 + 21 over 8 x squared minus 14x minus 15 ?

Carlton Burgess

in Mathematics

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Jodi Brooks on January 4, 2018

(3/(2x - 5) + 21 )/ (8x^2 - 14x - 15), If this is the original equationAnswer = 3((1/(2x-5))+7) / (4x + 3)(2x-5)in the First factor of three of the top 3(1/2x-5 + 7)/ 8x^2 - 14x - 15Then Factor of the bottom. 8 * -15 = -120then two numbers that add up to -14 but multiply -120this is 6-and -20rewrite "-14x" as 6x-20x3(1/2x-5 + 7)/ 8x^2 + 6x - 20x - 15Factor the common terms in the denominator3(1/2x-5 + 7)/ 2x(4x+3) - 5(4x+3), then, combine3((1/(2x-5)) + 7) / (4x+3)(2x-5)If that is the equation/that is the simplified version that you want!ps. the only things that are copied here was the numerator of the equation, so you do not have to enter it again T^T


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