Question

find the factor of
a-b-a^3+b^3​

Answer 1

Hi friend!!

Given, a-b-a³+b³

=a-b-(a³-b³)

We know that x³-y³=(x-y)(x²+y²+xy)

=a-b-(a-b)(a²+b²+ab)

=(a-b)(1-a²-b²-ab)

I hope this helps you ;)

Answer 2

Hey Dear

Here Is Your Answer

It Will Be

(a-b)^3=a^3+b^3

L.H.S

=(a)^3-(b)^3

=(a-b)^3

R.H.S

Therefore,

L.H.S=R.H.S

Hence Verified.