Simplify the following rational expression $$ \frac{5 x^{2}-20}{x^{2}+3 x-10} $$ $$ \begin{array}{l}\frac{3(x-2)}{x+5} \ \frac{5(x+2)}{x-2} \ \frac{5\left(x^{2}-4 ight)}{x^{2}+3 x-10} \ \frac{5(x+2)}{x+5}\end{array} $$

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Simplify the following rational expression $$ \frac{5 x^{2}-20}{x^{2}+3 x-10} $$ $$ \begin{array}{l}\frac{3(x-2)}{x+5} \ \frac{5(x+2)}{x-2} \ \frac{5\left(x^{2}-4ight)}{x^{2}+3 x-10} \ \frac{5(x+2)}{x+5}\end{array} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \frac{5x^2-20}{x^2+3x-10} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{5x^{2}-20}{x^{2}+3x-10}$$
- step1: Factor the expression:
  $$\frac{\left(x-2\right)\left(5x+10\right)}{\left(x-2\right)\left(x+5\right)}$$
- step2: Reduce the fraction:
  $$\frac{5x+10}{x+5}$$
The simplified form of the rational expression $$ \frac{5x^{2}-20}{x^{2}+3x-10} $$ is $$ \frac{5x+10}{x+5} $$.
The simplified form of the expression is $$ \frac{5x+10}{x+5} $$.

Simplify the following rational expression

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