[(6m² + 3m - 6 )-(4m³ - 5m +9 )]-(m² + m)

-4m^3+5m^2+7m-15

Step-by-step explanation:

To evaluate this, we open the brackets and collect like terms.

[(6m^2 + 3m -6)] - (4m^3 -5m +9)- (m^2+m)]

Opening the brackets(note; we multiply the elements in each of the brackets by the sign in front of the bracket) we have;

6m^2+3m-6 -4m^3+5m-9 -m^2-m

We collect like terms;

-4m^3+6m^2-m^2+3m+5m-m-6-9

-4m^3+5m^2+7m-15

Kindly note 6m^2 is same as 6 raised to the power of 2

300pi

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752