Question

Factorise: a - 4 + 4bc - abc​

Answer 1

Answer:

-8abc

Step-by-step explanation:

a - 8bc + abc

-8abc + abc

-8abc

Answer 2

Given,

The expression: (a-4+4bc-abc).

To find,

The factors of the given expression.

Solution,

The factors of (a-4+4bc-abc) will be (a-4)(1-bc).

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

According to the question,

We have the expression: (a-4+4bc-abc)

Now, this can only be factorised by taking common from the first two terms and then from the last terms because here we can not use the identity method and we can not factorise it by splitting the middle term.

Taking 1 common from the first two terms and -bc from the last two terms,

(a-4+4bc-abc)

1(a-4)-bc(-4+a)

1(a-4)-bc(a-4)

Taking (a-4) common,

(a-4)(1-bc)

Hence, the factors of (a-4+4bc-abc) are (a-4)(1-bc).