Question

factorise 9-x^2+2xy-y^2​

Answer 1

Step-by-step explanation:

9−x

2

+2xy−y

2

Above terms can be written as,

9−x

2

+xy+xy−y

2

Now,

=9−x

2

+xy+3x−3x+3y−3y+xy−y

2

Rearranging the above terms , we get,

=9−3x+3y+3x−x

2

+xy+xy−3y−y

2

Take out common in all terms ,

=3(3−x+y)+x(3−x+y)+y(−3−y+x)

=3(3−x+y)+x(3−x+y)−y(3+y−x)

=(3−x+y)(3+x−y)

Thus, factors are (3−x+y) and (3+x−y)