How do you combine like terms in #5( 3x + 7) + x ( 1+ 8x )#?

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Answer 1 · 2017-03-06T20:02:28

See the entire solution process below:

First expand the terms within parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis.

#color(red)(5)(3x + 7) + color(blue)(x)(1 + 8x) ->#

#(color(red)(5)xx3x) + (color(red)(5)xx7) + (color(blue)(x)xx1) + (color(blue)(x)xx8x) ->#

#15x + 35 + x + 8x^2#

Next, group like terms:

#8x^2 + 15x + x + 35#

Now, combine like terms:

#8x^2 + 15x + 1x + 35#

#8x^2 + (15 + 1)x + 35#

#8x^2 + 16x + 35#