If $ab=5$ and $a^{2}+b^{2}= 25$, then what is $(a+b)^{2}=?$.

Given: $ab=5$ and $a^{2}+b^{2}= 25$.

To do: To find the value of $( a+b)^2$

Solution: 

As known,

$( a+b)^2=a^2+b^2+2ab$, On substituting  $ab=5$ and $a^{2}+b^{2}= 25$, we have:

$( a+b)^2=25+5=30$

Thus, $( a+b)^2=30$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

46 Views

Kickstart Your Career

Get certified by completing the course

Get Started