Question

help pls Multiply and Simplify (z3-64) / (z2-5z+4) * (2z2+9z-11) / (5z2+20z+80)

Answer 1

try to factor each part, then you can cancel

Answer 2

\[z^{3}-64 = z^{3} -4^{3} = (z-4)(z^{2}+4z+16)\]
\[z^{2}-5z+4 = (z-4)(z-1)\]
\[2z^{2}+9z-11 = (2z+11)(z-1)\]
\[5z^{2}+20z+80 = 5(z^{2}+4z+16)\]

Answer 3

so then do I cancel out the ones that are the same

Answer 4

yes since you are multiplying, if same term is both on top and bottom they cancel

Answer 5

leaving (2z+11) / 5

Answer 6

correct

Answer 7

woo hoo thank you

Answer 8

:)