Question

Factorize the following:
2a⁴b⁴ − 3a³b⁵ + 4a²b⁵

Answer 1

The greatest common factor of the terms 2a⁴b⁴, -3a³b⁵​ and 4a²b⁵ of the expression 2a⁴b⁴ - 3a³b⁵ + 4a²b⁵ is a²b⁴​.
Now,
2a⁴b⁴ = a²b⁴ X 2a²
-3a³b⁵ = a²​b⁴ X -3ab 
4a²b⁵ = a²​b⁴ X 4b
Hence, (2a⁴b⁴ - 3a³b⁵ + 4a²b⁵) ​can be factorised as [a²b⁴(2a² - 3ab + 4b)]​.