Question

Factorize the following:
2x³y² − 4x²y³ + 8xy⁴

Answer 1

The greatest common factor of the terms 2x³y², -4x²y³ and 8xy⁴ of the expression 2x³y² - 4x²y³+ 8xy⁴y⁶⁴ is 2xy². 
Now,
2x³y² = 2xy² X x²  
-4x²y³ = 2xy² X -2xy
8xy⁴​ = 2xy² X 4y² 
Hence, the expression 2x³y² - 4x²y³ + 8xy⁴ ​can be factorised as 2xy²(x² - 2xy + 4y²)​.