What is (p^2-3p-10)/(p^2+p-2) ?

The solution to (p^2-3p-10)/(p^2+p-2) is (p-5)/(p-1)

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simplify (p^2-3p-10)/(p^2+p-2)

simplify

\frac{p ^{2} - 3 p - 10}{p ^{2} + p - 2}

\frac{p - 5}{p - 1}

Solution steps

\frac{p ^{2} - 3 p - 10}{p ^{2} + p - 2}

Factor

p^{2} - 3 p - 10 : (p + 2) (p - 5)

= \frac{( p + 2 ) ( p - 5 )}{p ^{2} + p - 2}

Factor

p^{2} + p - 2 : (p - 1) (p + 2)

= \frac{( p + 2 ) ( p - 5 )}{( p - 1 ) ( p + 2 )}

Cancel the common factor:

p + 2

= \frac{p - 5}{p - 1}

(42)^{3}

(x + 5) \cdot (x - 5)

\frac{- 5 + 5 i}{7 + 2 i}

x^{2} \times 2 x

\frac{4}{1 - 3}

What is (p^2-3p-10)/(p^2+p-2) ?
The solution to (p^2-3p-10)/(p^2+p-2) is (p-5)/(p-1)