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How do you factor #18m² n^4-12m² n^3+24m² n²#?

Answer 1

Nathan Axel

#18m^2n^4-12m^2n^3+24m^2n^2#

#=6m^2n^2(3n^2-2n+4)#

#(3n^2-2n+4)# has no simpler linear factors since it's discriminant is negative:

#Delta(3n^2-2n+4) = (-2)^2 - (4xx3xx4)#

#= 4 - 48 = -44#

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Answer 2

Jameson Allen

To factor the expression (18m^2n^4 - 12m^2n^3 + 24m^2n^2), first factor out the greatest common factor, which is (6m^2n^2). After factoring out the common factor, you will have (6m^2n^2(3n^2 - 2n + 4)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.