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

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

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Answer 1 · 2017-05-02T17:20:09

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 $k$ $k$ for $a$ $a$ and $m$ $m$ for $b$ $b$ :

$(a + b) (a - b) = a^{a} - b^{2}$ $(a + b)(a - b) = a^a - b^2$

$((k - m) (k + m) (k - m) \Rightarrow (k^{2} - m^{2}) (k - m)$ $(color(red)((k - m))color(blue)((k + m))(k - m) => (k^2 - m^2)(k - m)$

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:

$(k^{2} - m^{2}) (k - m) \Rightarrow$ $color(red)((k^2 - m^2))color(blue)((k - m)) =>$

$(k^{2} \cdot k) - (k^{2} \cdot m) - (m^{2} \cdot k) + (m^{2} \cdot m) \Rightarrow$ $(color(red)(k^2) * color(blue)(k)) - (color(red)(k^2) * color(blue)(m)) - (color(red)(m^2) * color(blue)(k)) + (color(red)(m^2) * color(blue)(m)) =>$

$k^{3} - k^{2} m - k m^{2} + m^{3}$ $k^3 - k^2m - km^2 + m^3$

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

1 Answer

Explanation:

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