Question

HARDEST MATH PROBLEM!

Answer 1

The result of subtracting and simplifying the rational expression in its fully factored form is $\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}$

Simplifying an expression in fully factored form

From the question, we are to subtract the rational expressions and express in the factored form

The given expression is

$\frac{n^{2} + 5n - 36 }{n^{2} -25} - \frac{n^{2} +8n +15 }{5n^{2} -125}$

Factor 5n² - 125

$\frac{n^{2} +5n - 36 }{n^{2} -25} - \frac{n^{2} +8n +15 }{5(n^{2} -25)}$

$\frac{5(n^{2} +5n - 36) - (n^{2} +8n +15) }{5(n^{2} -25)}$

$\frac{5n^{2} +25n - 180 - n^{2} -8n -15 }{5(n^{2} -25)}$

Simplify

$\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}$

Hence, the expression is $\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}$

Learn more on Simplifying an expression here: brainly.com/question/11792603

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