Question

Enter the values for the highlighted variables that

show how to subtract the rational expressions
correctly
=
X-
2
1
2
1
x2 - 36 x2 +6x (x+6)(x-6) x(x +a)
bx
(x+6)(x-6)* x+6X-6X
dx-xte
x+6x-6
f+x
X19-X119+X
9
(9-x)x

Answer 1

a = 6, b = 2, c = 6, d = 2, e = 6, f = 6

Explanation:

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

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1