What is (p^2+7p+10)/(p+5)*1/(p+2) ?

The solution to (p^2+7p+10)/(p+5)*1/(p+2) is 1

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simplify (p^2+7p+10)/(p+5)*1/(p+2)

simplify

\frac{p ^{2} + 7 p + 10}{p + 5} \cdot \frac{1}{p + 2}

1

Solution steps

\frac{p ^{2} + 7 p + 10}{p + 5} \cdot \frac{1}{p + 2}

Cancel

\frac{p ^{2} + 7 p + 10}{p + 5} : p + 2

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

Cross-cancel common factor:

p + 2

= 1

\frac{380}{3}

\frac{1}{3} \cdot \frac{1}{3}

45 x^{3} + 18 x^{2} - 5 x - 2

\frac{( n - 1 ) !}{( n + 2 ) !}

\frac{1}{3} (3 x - 7) + 7

What is (p^2+7p+10)/(p+5)*1/(p+2) ?
The solution to (p^2+7p+10)/(p+5)*1/(p+2) is 1