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

1 Answer
smendyka
May 2, 2017

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#

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