Question

9. If a^4+b^4 = a^2.b^2 find the value
of a^6 +b^6*​

Answer 1

Answer:

0

Step-by-step explanation:

We are given $\sf{a^4+b^4 = a^2b^2}$.

After transposing sides we get

$\sf{a^4-a^2b^2+b^4=0}$ ...(1)

Solving the Problem

We need to find the value of $\sf{a^6+b^6}$.

From its structure, we can tell

$\sf{(a^2)^3+(b^2)^3}$

After applying identity, we get

$\sf{(a^2+b^2)(a^4-a^2b^2+b^4)}$

which becomes

$\sf{(a^2+b^2)\times0=0}$ ...Because of (1)