Question

Please help me solve? (m3n + 8)(m3n - 5) multiplying polynomial by polynomial

Answer 1

Explanation:

Answer 2

The final result should be
`m^(6)n^(2) - 3m^(3)n - 40`.

In order to multiply any polynomials, use the pattern FOIL (which stands for first, outer, inner, last). You multiply what they ask you to at each step.

First - The first terms in both parenthesis.

`m^(3)n * m^(3)n = m^(6)n^(2)`

Outer - The terms on the outside of both parenthesis.

`m^(3)n * -5 = -5m^(3)n`

Inner - The terms on the inside of both parenthesis.

`m^(3)n * 8 = 8m^(3)n`

Last - the last numbers in each parenthesis.

8 * - 5 = - 40

Now we put all the answers together and simplify like terms,

`m^(6)n^(2) + -5m^(3)n + 8m^(3)n - 40`

`m^(6)n^(2) - 3m^(3)n - 40`