Question

Simplify: 6x²+35x-6÷ 2x²-72
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Answer 1

`(6x - 1)/(2(x - 6))`

Explanation:

`6x^2 + 35x - 6 \ / \ 2x^2 - 7 2\\\\6x^2 + 36x - x - 6 \ / \ 2(x^2 - 36)\\\\6x(x + 6) - 1(x + 6) \ / \ 2(x^2 - 6^2)\\\\(6x - 1)(x + 6) \ / \ 2(x- 6)(x+ 6) \ \ \ \ \ \ \ \ \ \ [ \ x^2 -a^2 = (x-a)(x+a) \ ]\\\\((6x - 1)(x + 6) )/(2(x- 6)(x+ 6)) = (6x - 1)/(2(x-6))`

Answer 2

Explanation:

this will be the answer of the question where quotient is 3 and the remainder is 35x + 210