Simplify (3x^2+2+4x)-(x+x^2+5)

$(3 x^{2} + 2 + 4 x) - (x + x^{2} + 5)$

Simplify each term.

Apply the distributive property.

$3 x^{2} + 2 + 4 x - x - x^{2} - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$3 x^{2} + 2 + 4 x - x - x^{2} - 5$

$3 x^{2} + 2 + 4 x - x - x^{2} - 5$

Simplify by adding terms.

Subtract $x^{2}$ from $3 x^{2}$ .

$2 x^{2} + 2 + 4 x - x - 5$

Subtract $5$ from $2$ .

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

Subtract $x$ from $4 x$ .

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

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

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