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which expression is equivalent to the given polynomial expression? (9mn-19m^4n)-(8m^2+12m^4n+9mn)
A. -31m^4n+18mn-8m^2
B. -7m^4n+8m^2
C. -7m^4n+18mn-8m^2
D. -31m^4n-8m^2


Sagot :

9514 1404 393

Answer:

  D. -31m^4n-8m^2

Step-by-step explanation:

Eliminate parentheses by distributing the minus sign. Then collect terms:

  (9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn

  = m^4n(-19 -12) +mn(9 -9) +m^2(-8)

  = -31m^4n -8m^2 . . . . . matches choice D

Answer: Letter C is the correcrt choice!

Step-by-step explanation: