Factorize:

9x² + 12xy

15

Without actual division, show that is exactly divisible by .

16

If has (x-2) as a factor and leaves a remainder 3 when divided by (x-3), find the values of a and b.

2

Factorize:

18x²y – 24 xyz

3

Factorize:

27a³b³ – 45a⁴b²