Question

check whether a^4-b^4 is completely divisible by a-b or not.​

Answer 1

Answer:

If a and b are two odd positive integers then (a^4-b^4) is divisible by?

Well, (a^4-b^4) can be factorized as (a^2+b^2)(a+b)(a-b). So the (a^4-b^4) can be divided by either of (a^2+b^2), (a+b) or (a-b).

Example: Let a = 11 and b = 9. Then

(a^4-b^4) = (a^2+b^2)(a+b)(a-b) or (11^2+9^2)(11+9)(11–9) or (121+81)*20*2 or 202*20*2.

(a^4-b^4) = 11^4–9^4 = 8080.

8080/202 = 40

8080/20 = 404

8080/2 = 4040

Step-by-step explanation: