How do you simplify #8(7a+10)+9(a+6)#?

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Answer 1 · 2017-06-30T01:00:37

See a solution process below:

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

#color(red)(8)(7a + 10) + color(blue)(9)(a + 6) =>#

#(color(red)(8) xx 7a) + (color(red)(8) xx 10) + (color(blue)(9) xx a) + (color(blue)(9) xx 6) =>#

#56a + 80 + 9a + 54#

Next, group like terms:

#56a + 9a + 80 + 54#

Now, combine like terms:

#(56 + 9)a + (80 + 54)#

#65a + 134#