SOLUTION: Multiply and simplify. Type exponential notation with positive exponents. (36z^2/5z^2-30z+45)(5z-15/6z) Thank you!

Question 224807: Multiply and simplify. Type exponential notation with positive exponents.
(36z^2/5z^2-30z+45)(5z-15/6z)
Thank you!
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
{ (36z^2) / (5z^2 -30z+45)} {5z-(15/6z)}
.
{ (36z^2) / [(5z-15)(z-3)] } { (30z^2 -15)/6z) }
.
{ (36z^2) / [ (5z-15)(z-3) ] } { 15(z^2 -1) /6z }
.
{ (6z*6z)/ [ (5(z-3))(z-3)] } { 3*5(z+1)(z-1)/6z}
.
cancel like terms
.
{6*3*z(z+1)(z-1)} / (z-3)(z-3)
.
18 z(z^2 -1) / (z^2 -6z +9)
.
18(z^3-z)/(z^2 -6z+9)
.
(18z^3 -18z)/ (z^2 -6z +9)
.
.
check,,,let x=1,,in both answer and original,,, =0
.
let x=2,,,{ } = 108,,,,,ok

RELATED QUESTIONS
Multiply and simplify (25a^2)/(2a^2-12a+18)*(2a-6)/5a Type exponential notation... (answered by Fombitz)

Multiply abd simplify 7^15*7^18 Type exponent notation with positive exponents. (answered by Fombitz)

Multiply and simplify 64b^2 / 2b^2-4b+2 *2b-2 / 8b) "type exponential... (answered by Fombitz,ewatrrr)

Multiply and Simplify 5^2*5^3 (type your answer using exponential notation. Use... (answered by MathLover1)

Multiply and simplify. (25z^2)/(3z^2-6z+3) *... (answered by ewatrrr)

Simplify the expression. (5^8)^2 (Simplify your answer. Type exponential notation with... (answered by checkley77)

Simplify the expression (5^8)^2 (Simplify your answer. Type exponential notation with... (answered by checkley77)

(6^2)^-9 Type exponential notation with positive... (answered by robertb)

{{{(8z^3-6z^2-5z+3)/(4z+3)}}} thank you!!!! (answered by scianci)