Question

Factorise a2-a+1/4-ab+b/2

Answer 1

Answer:

( a - 1/2) ( a - b -1/2 )

Step-by-step explanation:

a^2 -a +1/4 -ab + b/2

First factor of first 3 term

a^2 -a + 1/4

= ( a - 1/2 )^2

Now factor of remaing 4th and 5th term

- ab +b/2

= - b ( a - 1/2 )

= ( a -1/2)^2 - b ( a- 1/2 )

= ( a -1/2 ) ( a - 1/2 -b )

= ( a -1/2 ) ( a- b - 1/2 )