Question

Which of the following is the simplified form of x minus 7 over 2 x minus 12 plus the fraction 6 over x squared minus 36 ?

Answer 1

These are my choices

x plus 5 over 2 times the product x minus 6

x minus 5 over 2 times the product x plus 6

x minus 5 over 2 times the product x minus 6

x plus 5 over 2 times the product x plus 6

Answer 2

I got x plus 5 over 2 times x plus 6

Answer 3

ok thanks

Answer 4

how though?

Answer 5

ok, it is a long problem but this is how you solve it

Answer 6

x-7 6 x-7 6
------ + -------- = ------ + --------
2x-12 x^2-36 2(x-6) (x-6)(x+6)

Answer 7

Thank you for the help

Answer 8

are you following so far ??

Answer 9

yes

Answer 10

ok now you have

x^2 +6x -7x -42 +12 x^2-x-30 (x-6)(x+5)
------------------- = ------------- = ----------
2(x+6)(x-6) 2(x+6)(x-6) 2(x+6)(x-6)

Answer 11

now the x-6 cancels and you have left

x+ 5
-------
2(x+6)

Answer 12

thanks makes things much clearer

Answer 13

yw:)