Question

Solve this plz

(z^2 + 11z + 18 / z^2 + 14 z + 45) multiplied by (z^2 + 8z + 15 / z^2 + 2z)
Show steps too if you can!

Answer 1

`(z + 3)/(z)`

Explanation:

`(z^2 + 11z + 18)/(z^2 + 14 z + 45) * (z^2 + 8z + 15)/(z^2 + 2z) =`

Multiply the numerators. Multiply the denominators.

`= ((z^2 + 11z + 18)(z^2 + 8z + 15))/((z^2 + 14 z + 45)(z^2 + 2z))`

Factor every polynomial.

`= ((z + 2)(z + 9)(z + 5)(z + 3))/((z + 5)(z + 9)z(z + 2))`

Divide the numerator and denominator by equal factors.

`= (z + 3)/(z)`