perform the indicated operations 4x 6x36x3Solution4x 6x3

perform the indicated operations (4/x) * [(6/(x+3))-(6/(x-3))]

Solution

(4/x) * [(6/(x+3)) - (6/(x-3))]

first we will simplify

(6/(x+3)) - (6/(x-3))

= (6(x-3) - 6(x+3)) / ((x+3)(x-3))

= (6x - 18 - 6x - 18) / (x² - 9)

= -36/(x² - 9)

Multiplying this with 4/x

(4/x) * (-36/(x² - 9)

= -144/(x(x² - 9))