Question

Simplify each sum or difference. State any restrictions on the variables.

Answer 1

Simplification of the equation $\frac{x}{3x+9}- \frac{8}{x^{2} +3x}$ is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.

As given in the question,

Given equation $\frac{x}{3x+9}- \frac{8}{x^{2} +3x}$

Simplify the given equation,

x/ 3(x+3) - 8/x(x+3)

= (x² - 24) / 3x(x+3)

Restriction on the variables for the above equation is,

x≠ 0 , x≠ -3

Therefore, simplification of the equation $\frac{x}{3x+9}- \frac{8}{x^{2} +3x}$ is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.

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