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(36mn- 36m2n) - (4mn2 - 20m2n + 55)

 Oct 12, 2016
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Simplify the following:
36 m n^2-36 m^2 n-(4 m n^2-20 m^2 n+55)

-(55-20 m^2 n+4 m n^2) = -55+20 m^2 n-4 m n^2:
36 m n^2-36 m^2 n+-55+20 m^2 n-4 m n^2

Grouping like terms, 36 m n^2-36 m^2 n-55+20 m^2 n-4 m n^2 = (36 m n^2-4 m n^2)+(20 m^2 n-36 m^2 n)-55:
(36 m n^2-4 m n^2)+(20 m^2 n-36 m^2 n)-55

36 (m n^2)-4 (m n^2) = 32 (m n^2):
32 m n^2+(20 m^2 n-36 m^2 n)-55

20 (m^2 n)-36 (m^2 n) = -16 (m^2 n):
Answer: |32mn^2 - 16m^2n - 55

 Oct 12, 2016

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