Question

Q 5. One of the factors of (x3
-
1) - (x - 1) is *
O
(a) x2 + 1
O (b) x2 - 1
O
(c) x-1
0 (d) x + 4​

Answer 1

Answer:

(c) x-1

Step-by-step explanation:

(x3-1) - (x - 1)

formula a3 - b3 = (a - b)3 + 3ab(a - b)

put a=x and b=1

so (x3-1) - (x - 1)=(x-1)3 + 3x(x-1)-(x-1)

=(x-1)((x-1)2-3x-1)

(x-1) is a factor.