Question

If a²-b²=8 and a*b*=2,find a4+b4

Answer 1

Heya!!

a⁴ + b⁴ = ( a² - b² )² + 2 ( ab )²

a² - b² = 8 ...( Given )

ab = 2 ...( Given )

So,

a⁴ + b⁴ = ( 8 )² + 2 ( 2 )²

a⁴ + b⁴ = 64 + 8

a⁴ + b⁴ = 72

a⁴ + b⁴ = 72