Question

If a4+b4=a2 then find a6+b6

Answer 1

Hi there,

I think your question has some missing elements in it because the provided information is not giving any proper solution. Hoping the proper question to be as follows:

If a4+b4=a2b2 then find a6+b6

Step-by-step explanation:

It is given that,  

a⁴ + b⁴ = a²b²

rearranging this equation

⇒ a⁴ + b⁴ – a²b² = 0 …… (i)

Now, let’s solve for  

a⁶ + b⁶

= (a²)³ + (b²)³

= (a² + b²)[(a²)² - a²b² + (b²)²] …… [using algebraic formula: a³ + b³ = (a+b)(a²-ab+b²)]

= (a² + b²)[a⁴ - a²b² + b⁴]

= (a² + b²) * 0 ……. [substituting from (i)]

= 0  

Thus, a⁶ + b⁶ = 0

Answer 2

Answer:

answer is 0 (a²+b²)*0 =0

the above texted answer is correct .