What is (3x^4-3x)-(3x-3x^4) ?

The solution to (3x^4-3x)-(3x-3x^4) is 6x^4-6x

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simplify (3x^4-3x)-(3x-3x^4)

simplify

(3 x^{4} - 3 x) - (3 x - 3 x^{4})

6 x^{4} - 6 x

Solution steps

(3 x^{4} - 3 x) - (3 x - 3 x^{4})

Apply rule:

(a) = a

(3 x^{4} - 3 x) = 3 x^{4} - 3 x

= 3 x^{4} - 3 x - (3 x - 3 x^{4})

Apply the distributive law:

- (a - b) = - a + b

- (3 x - 3 x^{4}) = - 3 x + 3 x^{4}

= 3 x^{4} - 3 x - 3 x + 3 x^{4}

Add similar elements:

- 3 x - 3 x = - 6 x

= 3 x^{4} - 6 x + 3 x^{4}

Group like terms

= 3 x^{4} + 3 x^{4} - 6 x

Add similar elements:

3 x^{4} + 3 x^{4} = 6 x^{4}

= 6 x^{4} - 6 x

\frac{6}{48}

\frac{3 + 2 i}{5 + i}

4 0^{3}

\frac{\frac{x ^{2} - 1}{9 x}}{\frac{x ^{2} + 7 x - 8}{4 x}}

\frac{1}{2} x^{3}