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

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

Simplify each term.

Apply the distributive property.

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

Multiply $4$ by $- 1$ .

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

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

Simplify by adding terms.

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

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

Subtract $4 x$ from $2 x$ .

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

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

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