Question

The polynomial a−b+ab−a on factorization reduces to

A. (a+b)(a+b)(b)(a+b)(a+1)
B. (a−b)(a+b)
C. (a+b)(a−1)
D. (a+b)

Answer 1

a - b + ab - a = ab - b = b(a - 1)

None of the choices are correct.

Answer 2

The polynomial a - b + ab - a simplifies to b(a - 1) when factored, which is the same as (a + b)(a - 1), matching option C.

Step-by-step explanation:

The polynomial given is a - b + ab - a. To factorize this polynomial, let's combine like terms first. Notice that 'a' and '-a' cancel each other out, leaving us with b(a - 1). Therefore, when factored, the given polynomial reduces to (a + b)(a - 1), which is option C.