Answer:
B. -3m^7 + 10m^2
Step-by-step explanation:
First, we have to write down the division remembering that ÷ is the same as /
So we will write the division in terms of /
(-6m^7 + 20m^6) / 2m^4
This is the same equation as if we were using the symbol ÷
Now we have to remember the distribution when we are dividing fractions:
(a+b)/c = a/c + b/c ;
we can separate the fraction to make it easier, in this case:
a = -6m^7
b = 20m^6
c = 2m^4
And substituting in the fraction we have:
(-6m^7 + 20m^6) / 2m^4 = (-6m^7 / 2m^4) + (20m^6 / 2m^4)
We are going to use the second part:
(-6m^7 / 2m^4) + (20m^6 / 2m^4)
Now we are going to solve each parenthesis:
(-6m^7 / 2m^4)
To solve division that has variables with an exponent we have to remember the following:
ax^n / bx^m = (a/b) x^(n-m)
Where:
a and b are constant
x is the variable
and n and m are exponents
In the first parenthesis (-6m^7 / 2m^4):
(a/b) x^(n-m)
(-6/2) m^(7-4)
Now we solve and we have:
(-3) m^3 this is the first part of the division
Now we have to solve the second part of the division (20m^6 / 2m^4):
(a/b) x^(n-m)
(20/2) m^(6-4)
Now we solve:
(10) m^2 this is the second part of the division
Now we have to put the two parts together:
(-3m^3) + (10 m^2)
