Question

Factorise with step by step explanation
-2m^5 + 250m^2

Answer 1

Step-by-step explanation:

$- {2m}^{5} + {250m}^{2} \\ - { 2m}^{2} ( {m}^{3} - 125) \\ { - 2m}^{2}( {m}^{3} - {5}^{3} ) \\ using \: identity \: {x}^{3} - {y}^{3} = (x - y)( {x}^{2} - xy + {y}^{2}) \\ - 2 {m}^{2} (m - 5)( {m}^{2} - 5m + 25)$

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