How do you multiply #-4a ( - a + 2a ^ { 2} - 3a b )#?

1 Answer
Jun 2, 2017

See a solution process below:

Explanation:

To complete this problem, multiply each term within the parenthesis by the term outside the parenthesis. Be careful to handle the signs of each individual term correctly:

#color(red)(-4a)(-a + 2a^2 - 3ab) =>#

#(color(red)(-4a) * -a) + (color(red)(-4a) * 2a^2) + (color(red)(-4a) * - 3ab) =>#

#4a^2 + (-8a^3) + 12a^2b =>#

#4a^2 - 8a^3 + 12a^2b =>#

#-8a^3 + 4a^2 + 12a^2b#