Question

How do you find the product `(k-m)(k+m)(k-m)`?

Answer 1

See the entire solution process below:

Explanation:

First, we can multiply the two terms on the left of the expression using this rule and substituting `k` for `a` and `m` for `b`:

`(a + b)(a - b) = a^a - b^2`

`(color(red)((k - m))color(blue)((k + m))(k - m) => (k^2 - m^2)(k - m)`

Next, we can multiply these two remaining terms by multiplying each term in the parenthesis on the left by each term in the parenthesis on the right:

`color(red)((k^2 - m^2))color(blue)((k - m)) =>`

`(color(red)(k^2) * color(blue)(k)) - (color(red)(k^2) * color(blue)(m)) - (color(red)(m^2) * color(blue)(k)) + (color(red)(m^2) * color(blue)(m)) =>`

`k^3 - k^2m - km^2 + m^3`