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!

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