Question

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

a
b
c
d
e
f
g

Answer 1

a=6
b=2
c=6
d=2
e=6
f=6
g=1

Answer 2

Explanation:

The given expression is:

`(2)/(x^2-36)-(1)/(x^2+6x)`

On simplifying the above equation, we get

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

=
`(2x)/(x(x+6)(x-6))-(x-6)/(x(x-6)(x+6))`

=
`(2x-x+6)/(x(x+6)(x-6))`

=
`((x+6))/(x(x+6)(x-6))`

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

Therefore, the values of a, b , c, d, e, f and g are 6, 2, 6, 2, 6, 6 and 1 respectively.