If you are asked to factor this expression out, this is how to do it.
Factoring expression is like finding the factors of a certain number. For example, factors of 24 are 1, 2, 3, 4, 6, 8, 12, and itself 24.
To factor the given expression, and this expression is also a binomial, we have to find first the common factor between two factors: 27m² and 24n³.
First, let's find the Greatest Common Factor (GCF) of the 2 numerical coefficients (27 and 24).
Factors of 27: 1, 3, 9, 27
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
They have a common factor of 1 and 3, but we are finding the Greatest Common Factor and 3 is larger than 1 so 3 is the GCF of these 2 numerical coefficients.
Divide both terms by 3 and leave out the rest of the terms. Since, the literal coefficients (m² and n³) cannot be factored out so the answer is...
answer: 3(9m² - 8n³)
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