Simplify (x^3-8x^4-5)-(3x^4-6x-3)

$(x^{3} - 8 x^{4} - 5) - (3 x^{4} - 6 x - 3)$

Step 1

Simplify each term.

Apply the distributive property.

$x^{3} - 8 x^{4} - 5 - (3 x^{4}) - (- 6 x) - - 3$

Simplify.

Multiply $3$ by $- 1$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} - (- 6 x) - - 3$

Multiply $- 6$ by $- 1$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x - - 3$

Multiply $- 1$ by $- 3$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

Step 2

Simplify by adding terms.

Subtract $3 x^{4}$ from $- 8 x^{4}$ .

$x^{3} - 11 x^{4} - 5 + 6 x + 3$

Simplify the expression.

Add $- 5$ and $3$ .

$x^{3} - 11 x^{4} + 6 x - 2$

Reorder $x^{3}$ and $- 11 x^{4}$ .

$- 11 x^{4} + x^{3} + 6 x - 2$

$- 11 x^{4} + x^{3} + 6 x - 2$

$- 11 x^{4} + x^{3} + 6 x - 2$

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