Question

find the continued product of( root a + root b)( root a minus root b) (a + b)(a square + b square)​

Answer 1

hope the above answer will help you using the identities

Answer 2

Answer:

The continued product of (a+b) (a - b) (a+b) (a²+b²) is (a⁴ - b⁴).

Step-by-step explanation:

Given

(a+b) (a - b) (a+b) (a²+b²)

Solution:

Multiplying the first two terms

⇒(√a)² - (√b)² (a+b) (a²+b²)  [Since, a²-b²=(a+b) (a-b)]

⇒(a-b) (a+b) (a²+b²)

Again multiplying first two terms

⇒(a²- b²) (a² + b²)

⇒(a⁴ - b⁴)

Thus, (a⁴ - b⁴) is obtained on multiplying  (a+b) (a - b) (a+b) (a²+b²).