Question

If a^2 -b^2 = 10 and ab=4 find the value of a ^ 4 + b ^ 4

Answer 1

Step-by-step explanation:

(a^2-b^2)^2=a^4+b^4-2(ab)^2

substitute given values in above equation

(10)^2=(a^4+b^4)-2(4)^2

100=(a^4+b^4)-2(16)

100+32=(a^4+b^4)

(a^4+b^4)=132