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Simplify (4m3 + 36m2n ) * mn2/3 using distributive law?
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Simplify (4m3 + 36m2n ) * mn2/3 using distributive law?



Step-by-Step Explanation:

Distributive Law:
- Distributive law states that when multiplying a sum by a number, you can multiply each term in the sum separately and then add the results together.

Given Expression:
(4m3 + 36m2n) * mn2/3

Apply Distributive Law:
- Multiply each term in the expression separately by mn2/3.

Result:
= 4m3 * mn2/3 + 36m2n * mn2/3

Simplify each term:
- For the first term, multiply the coefficients (4 * 1/3) and add the exponents (m3 * m * n2).
- For the second term, multiply the coefficients (36 * 1/3) and add the exponents (m2 * n * n2).

Final Simplified Expression:
= 4/3 * m4 * n2 + 12m2 * n3
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Simplify (4m3 + 36m2n ) * mn2/3 using distributive law?
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