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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

Subtract $x^{2}$ from $4 x^{2}$ .

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

Subtract $2 x$ from $x$ .

$3 x^{2} - x$

$3 x^{2} - x$

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