Evaluate:
(a+b)(a−b)(a2+b2) is a4−b4.
If true, then enter 1 and if false, then enter 0.
Given, (a+b)(a−b)(a2+b2).
We know, (a+b)(a−b) =(a2−b2).
Multiply by using direct method, we get,
(a+b)(a−b)(a2+b2)=[a2−b2](a2+b2)
=(a2+b2)(a2−b2).
Now, by using formula (a2−b2)=(a+b)(a−b), we get,
=((a2)2−(b2)2)
=a4−b4.
Hence, the statement is true.
Therefore, 1 is the correct answer.