How do you find the product #a(-8a^2+2a+4)+3(6a^2-4)#?

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Answer 1 · 2017-08-06T11:33:47

See a solution process below:

First, expand both the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(a)(-8a^2 + 2a + 4) + color(blue)(3)(6a^2 - 4) =>#

#(color(red)(a) xx -8a^2) + (color(red)(a) xx 2a) + (color(red)(a) xx 4) + (color(blue)(3) xx 6a^2) - (color(blue)(3) xx 4) =>#

#-8a^3 + 2a^2 + 4a + 18a^2 - 12#

Next, group like terms:

#-8a^3 + 2a^2 + 18a^2 + 4a - 12#

Now, combine like terms:

#-8a^3 + (2 + 18)a^2 + 4a - 12#

#-8a^3 + 20a^2 + 4a - 12#