Can someone solve these rational expressions showing work thanks

asked May 17, 2022 163k views

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Answer:

$(x-5)/(\left(x-3\right)\left(x+2\right))+(2)/(\left(x-3\right)\left(x+2\right))=(1)/(2+x)$

Explanation:

$(x-5)/(\left(x-3\right)\left(x+2\right))+(2)/(\left(x-3\right)\left(x+2\right))$

$\mathrm{Apply\:rule}\:(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)$

$=(x-5+2)/(\left(x-3\right)\left(x+2\right))$

$\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3$

$=(x-3)/(\left(x-3\right)\left(x+2\right))$

$\mathrm{Cancel\:the\:common\:factor:}\:x-3$

=(1)/(2+x)

Dhalfageme answered May 22, 2022

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