Question

Simplify.

x/6 1/6 fractions plz help

Answer 1

ok 1/36 - 1/x^2
= (x^2 - 36) / 36x^2
= (x + 6)(x - 6) / 36x^2

1/6 + 1/x
= (x + 6) / 6x

So,

[1/36 - 1/x^2] / [1/6 + 1/x]
= [(x + 6)(x - 6) / 36x^2] / [(x + 6) / 6x]
= (x + 6)(x - 6) / 36x^2 * 6x / (x + 6) [cancel out the common factors: (x + 6), 6x]
= (x - 6) / 6x

Edit:
You can also multiply top and bottom by 36x^2.

On the numerator,
(1/36 - 1/x^2) * 36x^2 = x^2 - 36 = (x - 6)(x + 6)

On the denominator,
(1/6 + 1/x) * 36x^2 = 6x^2 + 36x = 6x(x + 6)

So overall,

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

Answer 2

do this help u

Answer 3

yes thx

Answer 4

i have 1 more i need help with can u help me

Answer 5

sure