Question

Factorise: 9(x+y)(x2–y2) -16(x-y)y2.

Answer 1

Hope this answer will be helpful for you.

Answer 2

Answer

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)