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Complete this statement with an expression in terms of m. 18m^3 + 9m^2 + 4m + 7 = (9m^2 + 7) (...........................)​

Sagot :

Step-by-step explanation:

18m^3+ 9m^2 + 4m + 7=(9m^2 + 7)

18m^3+9m^2+4m+7=9m^2 + 7

18m^3+9m^2+4m+7-7=9m2+7-7

18m^3+9m^2+4m=9m^2

18m^3+9m^2+4m-9m^2-9m^2

18m^3+4m=0

factor 18m^3+4m:. 2m(9m^2+2)

2m (9m^2+2)=0

using the zero factor principle: if an=0 then a=0 or b=0

m=0 or 9m^2+2=0

solve 9m^2+2=0:. m= i√2 m= -i√2

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3 3

The solutions are:

m=0, m= i√2 m= -i√2

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3 3

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