Question

factorise
1 + a - ab - a²b​

Answer 1

Step-by-step explanation:

1 + a - ab - a²b

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

= (a+1)(1 - ab)

Answer 2

Given,

The expression: 1 + a - ab - a²b

To find,

The factors of the given expression.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following expression:

1 + a - ab - a²b

We can factorise it by taking out the common factors.

( We can also find the factors of an expression by splitting the middle term and using the identity method.)

Taking out 1 common from the first two terms and -ab from the last two terms:

1(1+a)-ab(1+a)

Taking (1+a) as a common factor:

(1+a) (1-ab)

Hence, the factors of (1 + a - ab - a²b) are (1+a) (1-ab).