To factorize the expression X(1-b) - y(1-b), we can follow these steps:

Step 1: Identify the common factor
In the given expression, we can see that both terms have a common factor of (1-b). This means we can factor out (1-b) from both terms.

Step 2: Apply distribution property
We can distribute (1-b) to both X and y in their respective terms. This means multiplying each term inside the parentheses by (1-b).

Step 3: Simplify the expression
After applying the distribution property, we can simplify the expression by combining like terms.

Let's go through each step in detail:

Step 1: Identify the common factor
The given expression is X(1-b) - y(1-b). Here, both terms have a common factor of (1-b).

Step 2: Apply distribution property
To factor out (1-b), we can write the expression as follows:
(1-b)(X - y)

Step 3: Simplify the expression
Now, we can simplify the expression by combining like terms. Since there are no other terms to combine, the factored expression is:
(1-b)(X - y)

In conclusion, the given expression X(1-b) - y(1-b) is factorized as (1-b)(X - y).

The answer is
According to question
x(1-b)-y(1-b) 《common 1-b》=(1-b)(x-y)