How do you multiply #5mn(7m-2n)#?

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Answer 1 · 2018-03-13T16:22:36

See a solution process below:

Multiply each term within the parenthesis by the term outside the parenthesis. Use these rules for exponents:

#a = a^color(red)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#color(red)(5mn)(7m - 2n) =>#

#(color(red)(5mn) xx 7m) - (color(red)(5mn) xx 2n) =>#

#(color(red)(5m^1n) xx 7m^1) - (color(red)(5mn^1) xx 2n^1) =>#

#35m^(1+1)n - 10mn^(1+ 1) =>#

#35m^2n - 10mn^2#