Question

factories a4 -81 b 4​

Answer 1

➺Here, we found that (a2)2 is the perfect square of a2 but (b2)2 is a perfect square of b2 , hence by using the identity of x2−y2 to find the factor of the given expression. Therefore, (a2+b2)(a+b)(a−b) is the required factor of the given expression a4−b4 and a4−b4 completely divisible by these factors.