Question

Perform the indicated operations and simplify. 3z^2 - z - 2/6z^2 - 11z - 10 times 4z^2 - 25/2z^2 + 11z + 15 After I factored I got (3z + 2)(z - 1)/(3z + 2)(2z - 5) times (2z - 5)(2z + 5)/(2z - 5)(z + 3) After canceling I got (z - 1)(2z + 5)/(2z - 5)(z + 3). Where did I go wrong?

Answer 1

(3z^2-z-2)/(6z^2-11z-10)(4z^2-25)/(2z^2+11z+15)

(3z+2)(z-1)(2z-5)(2z+5)
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(3z+2)(2z-5)(2z+5)(z+3)

(z-1)/(z+3)

You had a typo: it was (2z+5)(z+3)