if a 2 - b 2 = 10 and a * b = 5 , find a 4 + b 4 .
a 2 - b 2 = 10 : given a 4 + b 4 - 2 a 2 b 2 = 102 : square both sides and expand . a * b = 5 : given a 2 b 2 = 52 : square both sides . a 4 + b 4 - 2 ( 25 ) = 100 : substitute a 4 + b 4 = 150 correct answer c
add(power(10, const_2), multiply(power(5, const_2), const_2))