Question

10. Find the continued product :
(i) (x + 1) (x - 1) (x^2 + 1)
(iii) (2m - 3) (2m + 3) (4m^2 + 9)​

Answer 1

Answer:

i)(x+1)(x−1)(x²+1)

=((x+1)(x−1))(x²+1)

=((x+1)(x−1))(x²)+((x+1)(x−1))(1)

=x^4−x²+x²−1

=x^4−1

iii)(2m−3)(2m+3)(4m²+9)

=((2m−3)(2m+3))(4m²+9)

=((2m−3)(2m+3))(4m²)+((2m−3)(2m+3))(9)

=16m^4−36m²+36m²−81

=16m^4−81