Question

ab-a-b+1=? factorise

Answer 1

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

Answer 2

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

Given :

The expression ab - a - b + 1

To find :

To factorise

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

ab - a - b + 1

Step 2 of 2 :

Factorise the expression

We factorise it as below

$\sf ab - a - b + 1$

$\sf = a(b - 1) - 1(b - 1)$

$\sf = (b- 1)(a - 1)$

$\sf = (a - 1)(b - 1)$

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