How do you combine #x( x - 5) + 6( x - 3)#?

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Answer 1 · 2017-09-29T13:12:55

See a solution process below:

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

#color(red)(x)(x - 5) + color(blue)(6)(x - 3) =>#

#(color(red)(x) xx x) - (color(red)(x) xx 5) + (color(blue)(6) xx x) - (color(blue)(6) xx 3) =>#

#x^2 - 5x + 6x - 18#

Now, we can combine like terms:

#x^2 + (-5 + 6)x - 18 =>#

#x^2 + 1x - 18 =>#

#x^2 + x - 18#