Question

(2x/(x^2-64))-(1/(x-8)) При x=-4

Answer 1

(-8/-72)-(1/-12)

(-1/-9)-(1/-12)

-1/-36

Answer 2

To evaluate the expression (2x/(x^2-64)) - (1/(x-8)) at x = -4, simply plug in -4 for x and calculate the result:

(2(-4)/((-4)^2-64)) - (1/(-4-8))

= (-8/(16-64)) - (1/(-12))

= (-8/-48) - (1/(-12))

Now, let's simplify further:

= 1/6 + 1/12

To combine these fractions, find a common denominator, which is 12:

= (2/12) + (1/12)

Now add the fractions:

= 3/12

And finally, simplify the fraction:

= 1/4

So, when x = -4, the expression (2x/(x^2-64)) - (1/(x-8)) evaluates to 1/4.