if a 2 - b 2 = 10 and a * b = 8 , 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 = 8 : given a 2 b 2 = 82 : square both sides . a 4 + b 4 - 2 ( 64 ) = 100 : substitute a 4 + b 4 = 228 correct answer b"
add(power(10, 2), multiply(power(8, 2), 2))