What is (5-(x+2))/((\frac{x^2-4){x-3})} ?

The solution to (5-(x+2))/((\frac{x^2-4){x-3})} is -((x-3)^2)/(x^2-4)

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simplify (5-(x+2))/((\frac{x^2-4){x-3})}

simplify

\frac{5 - ( x + 2 )}{( \frac{x ^{2} - 4}{x - 3} )}

- \frac{( x - 3 ) ^{2}}{x ^{2} - 4}

Solution steps

\frac{5 - ( x + 2 )}{\frac{x ^{2} - 4}{x - 3}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( 5 - ( x + 2 ) ) ( x - 3 )}{x ^{2} - 4}

Simplify

(5 - (x + 2)) (x - 3) : - (x - 3)^{2}

= \frac{- ( x - 3 ) ^{2}}{x ^{2} - 4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{( x - 3 ) ^{2}}{x ^{2} - 4}

\frac{1}{- \frac{16}{4}}

- 4 x + 2 - 5 x - 9 + x

(2 x + 8) - (x + 8)

2^{2} + 8^{2}

6 x^{3} - 4 x^{2} - 16 x

What is (5-(x+2))/((\frac{x^2-4){x-3})} ?
The solution to (5-(x+2))/((\frac{x^2-4){x-3})} is -((x-3)^2)/(x^2-4)