How do you simplify #(3x ^ { 2} + 5x - 1) + ( 3x ^ { 2} + 3x + 15) - ( 6x ^ { 2} - 13)#?

2 Answers
May 10, 2018

Since no terms within each set of parentheses are like terms, we can simplify this without the parentheses.

Note: since there is a - before #(6x^2 - 13)#, we multiply all terms inside it by -1, thus #-6x^2 + 13#

#3x^2 + 5x - 1 + 3x^2 + 3x + 15 - 6x^2 + 13#

Now group the like terms, and simplify.
#3x^2 + 3x^2 - 6x^2 + 5x + 3x - 1 + 15 + 13#

#8x + 27#

May 10, 2018

#8x+27#

Explanation:

#3x^2+5x-1#
#ul(3x^2+3x+15 larr" Add")#
#6x^2+8x+14#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#6x^2+8x+14#
#ul(6x^2+0x-13 larr" Subtract")#
#0x^2 +8x+27#

#color(white)()#

Answer #->8x+27#