Simplify (x^5+x^3)-(6x-x^3+6x^5)

$(x^{5} + x^{3}) - (6 x - x^{3} + 6 x^{5})$

Step 1

Simplify each term.

Apply the distributive property.

$x^{5} + x^{3} - (6 x) - - x^{3} - (6 x^{5})$

Simplify.

Multiply $6$ by $- 1$ .

$x^{5} + x^{3} - 6 x - - x^{3} - (6 x^{5})$

Multiply $- - x^{3}$ .

Multiply $- 1$ by $- 1$ .

$x^{5} + x^{3} - 6 x + 1 x^{3} - (6 x^{5})$

Multiply $x^{3}$ by $1$ .

$x^{5} + x^{3} - 6 x + x^{3} - (6 x^{5})$

$x^{5} + x^{3} - 6 x + x^{3} - (6 x^{5})$

Multiply $6$ by $- 1$ .

$x^{5} + x^{3} - 6 x + x^{3} - 6 x^{5}$

$x^{5} + x^{3} - 6 x + x^{3} - 6 x^{5}$

$x^{5} + x^{3} - 6 x + x^{3} - 6 x^{5}$

Step 2

Simplify by adding terms.

Subtract $6 x^{5}$ from $x^{5}$ .

$- 5 x^{5} + x^{3} - 6 x + x^{3}$

Add $x^{3}$ and $x^{3}$ .

$- 5 x^{5} + 2 x^{3} - 6 x$

$- 5 x^{5} + 2 x^{3} - 6 x$

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