Question

can we write (alpha)³.(beta)³ as (alpha)(beta) x (alpha) (beta) x (alpha)(beta)?​

Answer 1

Answer:

If α and β are the zeros of the polynomial then

(x−α)(x−β) are the factors of the polynomial

Thus, (x−α)(x−β) is the polynomial.

So, the polynomial =x

2

−αx−βx+αβ

=x

2

−(α+β)x+αβ....(i)

Now,the quadratic polynomial is

2−3x−x

2

= x

2

+3x−2....(ii)

Now, comparing equation (i) and (ii),we get,

−(α+β)=3

α+β=−3

Answer 2

Answer:

No, we can't

Step-by-step explanation:

because, a3 + b3 = (a + b) (a2 - ab + b2 )

hope it helps....