How do you multiply $- m n p (3 m - 5 n + 7 p)$ $-mnp(3m - 5n + 7p)$ ?

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How do you multiply $- m n p (3 m - 5 n + 7 p)$ $-mnp(3m - 5n + 7p)$ ?

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Answer 1 · 2016-02-28T02:44:11

$- 3 m^{2} n p + 5 m n^{2} p - 35 m n p^{2}$ $-3m^2np+5mn^2p-35mnp^2$

Explanation:

$1$ $1$ . Recall the distributive property: $a (b + c) = a b + a c$ $a(b+c)=ab+ac$ . Thus, in your equation, multiply $- m n p$ $color(red)(-mnp)$ by each term inside the brackets.

$- m n p (3 m - 5 n + 7 p)$ $color(red)(-mnp)(3m-5n+7p)$

$= - (m n p) (3 m) - (m n p) (- 5 n) - (m n p) (7 p)$ $=color(red)(-(mnp))(3m)color(red)(-(mnp))(-5n)color(red)(-(mnp))(7p)$

$2$ $2$ . Simplify.

$= - 3 m^{2} n p + 5 m n^{2} p - 35 m n p^{2}$ $=-3m^2np+5mn^2p-35mnp^2$

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How do you multiply $- m n p (3 m - 5 n + 7 p)$ $-mnp(3m - 5n + 7p)$ ?

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How do you multiply $- m n p (3 m - 5 n + 7 p)$ $-mnp(3m - 5n + 7p)$ ?