How do you simplify #6( 2+ y ) ^ { 2} - 2( 2+ y )#?

1 Answer
EZ as pi
Oct 6, 2017

#=6y^2+22y+20#

Explanation:

There are two terms. Simplify each one separately to begin with.

Within each term use the order

  • brackets
  • powers and roots
  • multiply and divide

Then in the final step you add and subtract the last terms.

#6color(blue)((2+y)^2)" - "color(red)(2(2+y))#

#=6color(blue)((4+4y+y^2))" - "color(red)((4+2y))#

#=color(blue)(24+24y+6y^2color(red)( -4-2y)#

#=6y^2+22y+20#

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