How do you simplify #18x^2+4-[6(x^2-2)+5]#?

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Answer 1 · 2018-04-19T02:15:30

#18x^2 + 4 - [6(x^2-2)+5]=color(blue)(12x^2+11#

Simplify:

#18x^2 + 4 - [6(x^2-2)+5]#

Expand #6(x^2-2)# to #6x^2-12#.

#18x^2 + 4 - [6x^2-12+5]#

Simplify #-12+5# to #-7#.

#18x^2 + 4 - [6x^2-7]#

Simplify #-[6x^2-7]# to #-6x^2+7#.

#18x^2 + 4 - 6x^2+7#

Collect like terms.

#(18x^2-6x^2)+(4+7)#

Combine like terms.

#12x^2+11#

Answer 2 · 2018-04-19T02:20:30

Expand the bracket, and collect the like terms.

Expand the bracket, you would get:

18#x^2#+4-(6#x^2#-12+5)
18#x^2#+4-6#x^2#+12-5

Collect the like terms:

2#x^2#+11

And it is the final answer!
Hope it helps!