How do you fully factor #22x^2 - 55x^3#?

1 Answer
Dec 24, 2015

#11x^2(2-5x)#.

Explanation:

First take out a common factor of #11x^2# to get

#11x^2(2-5x)#.

This in fact now cannot be factorized any further and is the final answer.

Note that we cannot apply the method of difference of 2 squares for the bracketed term since the subtracted terms are not perfect squares, that is, their square roots are not rational numbers.