Simplify the radicals and collect the like terms
√180m^4 - m^2√125 +2m√147m - √150m^3
To simplify the radicals, we need to factorize the numbers inside them and look for perfect square factors.
√180m^4 - m^2√125 + 2m√147m - √150m^3
√(36 * 5 * m^4) - √(25 * 5 * m^2) + 2m√(3 * 49 * m) - √(25 * 6 * m^3)
6m^2√5 - 5m√5 + 2m(7√3) - 5m√(6m^3)
Next, we can collect like terms by combining the terms with the same radical.
(6m^2 - 5m)√5 + 2m√3 - 5m√(6m^3)
Therefore, the simplified expression is (6m^2 - 5m)√5 + 2m√3 - 5m√(6m^3).