## anonymous one year ago Medal & fan. Perform the indicated operation. Be sure the answer is reduced. (equation below)

1. anonymous

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

2. anonymous

@taramgrant0543664

3. taramgrant0543664

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)

4. taramgrant0543664

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

5. taramgrant0543664

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)