Simplify (4x^2-3x+8)-(3x^2-5)

$(4 x^{2} - 3 x + 8) - (3 x^{2} - 5)$

Simplify each term.

Apply the distributive property.

$4 x^{2} - 3 x + 8 - (3 x^{2}) - - 5$

Multiply $3$ by $- 1$ .

$4 x^{2} - 3 x + 8 - 3 x^{2} - - 5$

Multiply $- 1$ by $- 5$ .

$4 x^{2} - 3 x + 8 - 3 x^{2} + 5$

$4 x^{2} - 3 x + 8 - 3 x^{2} + 5$

Simplify by adding terms.

Subtract $3 x^{2}$ from $4 x^{2}$ .

$x^{2} - 3 x + 8 + 5$

Add $8$ and $5$ .

$x^{2} - 3 x + 13$

$x^{2} - 3 x + 13$

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