How do you multiply #-2x ( x - 5x )#?

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Answer 1 · 2017-07-17T14:42:32

See a solution process below:

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

#color(red)(-2x)(x - 5x) =>#

#(color(red)(-2x) xx x) - (color(red)(-2x) xx 5x) =>#

#-2x^2 - (-10x^2) =>#

#-2x^2 + 10x^2 =>#

#(-2 + 10)x^2 =>#

#8x^2#

Another process would be to add the terms within the parenthesis first and then multiply the result:

#-2x(x - 5x) =>#

#-2x(1x - 5x) =>#

#-2x([1 - 5]x) =>#

#-2x(-4x) =>#

#8x^2#