need help solving rational expressions when multiplying

[tyieshia17]

x^2-3x-10/5x*15x^2/3x-15

 

[mmm4444bot]

need help solving rational expressions when multiplying

x^2-3x-10/5x*15x^2/3x-15

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[HallsofIvy]

x^2-3x-10/5x*15x^2/3x-15

If you mean \(\displaystyle \left(\frac{x^2- 3x- 10}{5x}\right)\left(\frac{15x^2}{3x- 15}\right)\)
\(\displaystyle =\frac{(x^2- 3x- 10)(15x^2)}{(5x)(3x-15)}= \left(\frac{x^2- 3x- 10}{3x- 15}\right)\left(\frac{15x^2}{5x}\right)\)
then you should be able to see that \(\displaystyle \frac{15x^2}{5x}= 3x\). Also \(\displaystyle 3x- 15= 3(x- 5)\) so that \(\displaystyle \frac{3x}{3x- 15}= \frac{x}{x- 5}\). Finally, \(\displaystyle x^2- 3x- 10= (x- 5)(x+ 2)\).

Can you put all of that together?