How do you multiply #4x ( x + 5x )#?

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Answer 1 · 2017-07-16T23:24:26

See a solution process below:

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

#color(red)(4x)(x + 5x) =>#

#(color(red)(4x) xx x) + (color(red)(4x) xx 5x) =>#

#4x^2 + 20x^2 =>#

#(4 + 20)x^2 =>#

#24x^2#

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

#4x(x + 5x) =>#

#4x(1x + 5x) =>#

#4x([1 + 5]x) =>#

#4x(6x) =>#

#24x^2#