Simplify (3x^2+x+1)-(2x^2-3x-5)

$(3 x^{2} + x + 1) - (2 x^{2} - 3 x - 5)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{2} + x + 1 - (2 x^{2}) - (- 3 x) - - 5$

Simplify.

Multiply $2$ by $- 1$ .

$3 x^{2} + x + 1 - 2 x^{2} - (- 3 x) - - 5$

Multiply $- 3$ by $- 1$ .

$3 x^{2} + x + 1 - 2 x^{2} + 3 x - - 5$

Multiply $- 1$ by $- 5$ .

$3 x^{2} + x + 1 - 2 x^{2} + 3 x + 5$

$3 x^{2} + x + 1 - 2 x^{2} + 3 x + 5$

$3 x^{2} + x + 1 - 2 x^{2} + 3 x + 5$

Step 2

Simplify by adding terms.

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

$x^{2} + x + 1 + 3 x + 5$

Add $x$ and $3 x$ .

$x^{2} + 4 x + 1 + 5$

Add $1$ and $5$ .

$x^{2} + 4 x + 6$

$x^{2} + 4 x + 6$

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