What is (-x^4+6)-(x^4-6) ?

The solution to (-x^4+6)-(x^4-6) is -2x^4+12

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simplify (-x^4+6)-(x^4-6)

simplify

(- x^{4} + 6) - (x^{4} - 6)

- 2 x^{4} + 12

Solution steps

(- x^{4} + 6) - (x^{4} - 6)

Apply rule:

(a) = a

(- x^{4} + 6) = - x^{4} + 6

= - x^{4} + 6 - (x^{4} - 6)

Apply the distributive law:

- (a - b) = - a + b

- (x^{4} - 6) = - x^{4} + 6

= - x^{4} + 6 - x^{4} + 6

Group like terms

= - x^{4} - x^{4} + 6 + 6

Add similar elements:

- x^{4} - x^{4} = - 2 x^{4}

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

Add the numbers:

6 + 6 = 12

= - 2 x^{4} + 12

(- 7 m n^{6}) (- 3 mn) (- 5 m^{6} n^{3})

4 x^{2} - 81 y^{6}

9 (7 h - 4 k) + 10 k - 5 (6 k - 7 h)

2 - 72 + 3 - 32

\frac{- 4}{5} + \frac{- 7}{8}