Question

What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction

Answer 1

The difference of the fractions as given in the task content is; (4-2x) / (x²-16).

What is the difference of the two fractions?

According to the task content, the fractions whose difference is to be evaluated are as indicated below;

$\frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4}$

Hence, the LCM of the denominators of both fractions can be evaluated as;

x -3(x+4)/(x²-16).

(4-2x) / (x²-16)

Hence, the difference of the two fractions is; (4-2x) / (x²-16).

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