Question

please solve this question ​

Answer 1

hi there!! !!

1.

81m^2-108mn+36n^2

9(9m^2-12mn+4n^2)

2.

36a^4+24a^3b^3+4b^6

4(9a^4+6a^3b^3+b^6)

hope this helps!!☺✌♥

Answer 2

( i )

81m^2 - 108mn + 36n^2

◆ Taking 9 as common

9 ( 9m^2 -12mn + 4n^2 )

◆ splitting 12

9 ( 9m^2 - 6mn - 6mn + 4n^2 )

9 [ 3m ( 3m - 2n ) - 2n ( 3m - 2n ) ]

9 [ ( 3m - 2n ) ( 3m - 2n ) ]

( ii )

36a^4 + 24a^2 b^3 + 4b^6

◆ Taking 4 as common

4 ( 9a^4 + 6a^2 b^3 + b^6 )

◆ splitting 6

4 ( 9a^4 + 3a^2 b^3 + 3a^2 b^3 + b^6 )

4 [ 3a^2 ( 3a^2 + b^3 ) + 3b^3 (3a^2 + b^3 ) ]

4 [ ( 3a^2 + 3b^3 ) ( 3a^2 + 3b^3 ) ]

and also see the attachment.