Question

Medal & fan.
Perform the indicated operation. Be sure the answer is reduced. (equation below)

Answer 1

\[\frac{ k+5 }{ k^2+3k-10 } \div \frac{ 7k+14 }{ 4-k^2 }\]

Answer 2

@taramgrant0543664

Answer 3

So since its divided by a division you can flip the second portion so it is a multiplication so it would be x(4-k^2)/(7k+14)

Answer 4

Our next step is to make k^2+3k-10 into something that looks more like ( )( ) obviously with numbers in it it but we need to determine that

Answer 5

If factored properly you should get -2 and 5 that solve for k^2+3k-10 so
k^2+3k-10 = (k-2)(k+5)