Question

Q.6 Factorisation of z−7+7xy−xyz is

(a) (z−)(1−) (b) (1+xy)(z−) (c) (xy+1)(7−) (d) (7−)(xy−)​

Answer 1

Answer:

ANSWER

z - 7 + 7xy - xyz

= (z - 7) + xy(7 - z)

= (z - 7) - xy(z - 7)

= (z - 7)(1 - xy)

Answer 2

Question given :

• We need to factorise the expression z - 7 + 7xy - XYZ

Given :

1. ( - z ) ( - 1 )
2. ( 1 + xy )( - z )
3. ( xy + 1 )( - 7 )
4. ( -7 )(- x y )

To find :

• The factors of the polynomial z−7+7xy−xyz

Solution :

= z−7+7xy−xyz

This can also be written as ,

= - ( 7 - z ) + 7xy - xyz

= - ( 7 - z ) + xy - ( 7 - z )

= - ( 7 - z ) × ( 1 - xy )

So therefore the correct answer - ( 7 - z ) × ( 1 - xy )