Question

What is the difference?

COF
x²-16
3
X-4
2(x+6)
(x+4)(x-4)
-2(x+6)
(X+4)(x-4)
X-3
(x+5)(x-4)
-2(x-6)
(x+4)(x-4)

Answer 1

`= (-2(x-6))/((x+4)(x-4))`

Explanation:

Given the expression;

`(x)/(x^2-16) -(3)/(x-4)`

According to difference of two square;

x² - 16 = x²-4² = (x+4)(x-4)

Substitute;

`(x)/((x+4)(x-4)) - (3)/(x - 4)\\`

Find the LCM

`= (x-3(x+4))/((x+4)(x-4)) \\= (x-3x-12)/((x+4)(x-4))\\= (-2x-12)/((x+4)(x-4))\\= (-2(x-6))/((x+4)(x-4))`