Question

if a+b=8 and ab=15 find the value of a^4+a^2b^2+b^4

Answer 1

here is ur solution hope it will help u if it helps u plz mark it as brainliest

Answer 2

HELLO......FRIEND!!

THE ANSWER IS HERE,

=> a+b=8.

=> ab=15.

$= > \: {a}^{4} + {a}^{2} {b}^{2} + {b}^{4}$

$= > \: ( { {a}^{2} + {b}^{2} })^{2} - {a}^{2} {b}^{2}$

$= > \:( { {(a + b)}^{2} - 2ab})^{2} -( {ab})^{2}$

$= > \: ( { {8}^{2} - 2(15) })^{2} - {15}^{2}$

$= > \: ( {64 - 30})^{2} - 225$

$= > \: {34}^{2} - 225$

=> 1156-225

=> 931.

:-)Hope it helps u.