Question

Find the product.
(m - n + k) (m + 4n - 3k)

Answer 1

Can someone help out?

Answer 2

please you have to apply the distributive poprty of multipication ove addition, namely:
\[(m-n+k)(m+4n-3k)=\]
\[=m(m+4n-3k)-n(m+4n-3k)+k(m+4n-3k)=...\]

Answer 3

please try to complete!

Answer 4

I did everything in the parentheses but I am having trouble when trying to combine the terms

Answer 5

please write all terms you have got

Answer 6

m^2 +4mn -3km - mn -4n^2 +3kn + km + 4nk - 3k^2

Answer 7

that's right!

Answer 8

now you can add only similar terms, namely:
similar terms are terms with identical literal parts.
For example:
4mn and -mn are similar terms, because have the same literal part.
Now 4mn+(-mn)=3mn
do you agree?

Answer 9

yes

Answer 10

ok! now another example:
-3km and km are similar terms, because, like before, they have the same literal part.
So I can add them each other.
I will get this:
-3km+km=-2km
do you agree?

Answer 11

yes

Answer 12

ok! now do the same with remaining terms.

Answer 13

please

Answer 14

of course, write your answer

Answer 15

m^2 - 4n^2 -3k^2 + 3mn - 2km +7nk

Answer 16

that's right!

Answer 17

Cool