Question

factorise the polynomial x^2+xy-x-y
please please show the full process please​

Answer 1

Step-by-step explanation:

Factorise the expression by grouping terms together which have a common factor:

(

x

2

−

x

y

)

+

(

−

x

y

+

y

2

)

=

x

(

x

−

y

)

−

y

(

x

−

y

)

←

note the change of signs

=

(

x

−

y

)

(

x

−

y

)

=

(

x

−

y

)

2

If you simplify the given expression to give

x

2

−

2

x

y

+

y

2

,

you might recognise this as the square of the binomial

(

x

−

y

)

2

as shown by the factorising.

Answer 2

Answer:

( x + y )( x - 1 )

Step-by-step explanation:

x² + xy - x - y

= x² - x + xy - y

= x(x-1) + y(x-1)

= ( x + y )( x - 1 )