2 Answers

Pfmaggi · Answer 1 · 2022-07-26T08:40:12+0000

Answer: 2m^2n^3

Explanation:

I'm assuming this is the expression:

$-\:24m^3n^3\:+\:32m^3\:n^3x\:-\:18m^2\:x^2n^3$

Factor 24m^3n^3 by separating all terms (use 2's and 3's as all terms are divisible by them):

$2\cdot \:2\cdot \:2\cdot \:3\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n$

Factor 32m^3n^3x:

$2\cdot \:2\cdot \:2\cdot \:2\cdot \:2\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x$

Factor 18m^2x^2n^3:

$2\cdot \:3\cdot \:3\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\cdot \:x$

Common factor (terms that are present in all factored expressions):

$2\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n$

Simplify to:

2m^2n^3

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