How do you multiply #-6x^2(4x-7x^2-2)#?

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Answer 1 · 2017-05-19T20:07:26

See a solution process below:

Multiply each term within the parenthesis by the term outside the parenthesis:

#color(red)(-6x^2)(4x - 7x^2 - 2) =>#

#(color(red)(-6x^2) xx 4x) - (color(red)(-6x^2) xx 7x^2) - (color(red)(-6x^2) xx 2) =>#

#-24x^3 - (-42x^4) - (-12x^2) =>#

#-24x^3 + 42x^4 + 12x^2#

If necessary, we can write this in standard form as:

#42x^4 - 24x^3 + 12x^2#