Answer:
Explanation:
To multiply the polynomials (m-3n)(m^2+7mn-6n^2) using the distributive property, we need to multiply each term of the first polynomial by each term of the second polynomial and then simplify the solution.
Let's start by multiplying the first term of the first polynomial, m, by each term of the second polynomial:
m * m^2 = m^3
m * 7mn = 7m^2n
m * -6n^2 = -6mn^2
Next, let's multiply the second term of the first polynomial, -3n, by each term of the second polynomial:
-3n * m^2 = -3mn^2
-3n * 7mn = -21n^2m
-3n * -6n^2 = 18n^3
Now, let's combine all the multiplied terms:
m^3 + 7m^2n - 6mn^2 - 3mn^2 - 21n^2m + 18n^3
To simplify this expression, we can combine like terms:
m^3 + 7m^2n - 9mn^2 - 21n^2m + 18n^3
Therefore, the simplified solution after multiplying the polynomials and simplifying is m^3 + 7m^2n - 9mn^2 - 21n^2m + 18n^3.