What is 18x^2+4-[6(x^2-2)+5] ?

The solution to 18x^2+4-[6(x^2-2)+5] is 12x^2+11

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

simplify

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

12 x^{2} + 11

Solution steps

18 x^{2} + 4 - (6 (x^{2} - 2) + 5)

Simplify

- (6 (x^{2} - 2) + 5) : - 6 x^{2} + 7

= 18 x^{2} + 4 - 6 x^{2} + 7

Group like terms

= 18 x^{2} - 6 x^{2} + 4 + 7

Add similar elements:

18 x^{2} - 6 x^{2} = 12 x^{2}

= 12 x^{2} + 4 + 7

Add the numbers:

4 + 7 = 11

= 12 x^{2} + 11

3 x^{2} - 300

3 x^{2} - 243

(x + 7)^{2} - 2 (x + 7) - 1

(a + b + c)^{0}

(4 + 3 i)^{- 1}