Factor (2x^3-x+1)-(-3x^4+x^2+x)

$(2 x^{3} - x + 1) - (- 3 x^{4} + x^{2} + x)$

Step 1

Apply the distributive property.

$2 x^{3} - x + 1 - (- 3 x^{4}) - x^{2} - x$

Step 2

Multiply $- 3$ by $- 1$ .

$2 x^{3} - x + 1 + 3 x^{4} - x^{2} - x$

Step 3

Subtract $x$ from $- x$ .

$2 x^{3} + 1 + 3 x^{4} - x^{2} - 2 x$

Step 4

Reorder terms.

$3 x^{4} + 2 x^{3} - x^{2} - 2 x + 1$

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