Simplify (2x^2y^3-4)-(6-x^2+10x^2y^3)+(-2+3x^2)

$(2 x^{2} y^{3} - 4) - (6 - x^{2} + 10 x^{2} y^{3}) + (- 2 + 3 x^{2})$

Remove parentheses.

$(2 x^{2} y^{3} - 4) - (6 - x^{2} + 10 x^{2} y^{3}) - 2 + 3 x^{2}$

Simplify each term.

Apply the distributive property.

$2 x^{2} y^{3} - 4 - 1 \cdot 6 - - x^{2} - (10 x^{2} y^{3}) - 2 + 3 x^{2}$

Simplify.

Multiply $- 1$ by $6$ .

$2 x^{2} y^{3} - 4 - 6 - - x^{2} - (10 x^{2} y^{3}) - 2 + 3 x^{2}$

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$2 x^{2} y^{3} - 4 - 6 + 1 x^{2} - (10 x^{2} y^{3}) - 2 + 3 x^{2}$

Multiply $x^{2}$ by $1$ .

$2 x^{2} y^{3} - 4 - 6 + x^{2} - (10 x^{2} y^{3}) - 2 + 3 x^{2}$

Multiply $10$ by $- 1$ .

$2 x^{2} y^{3} - 4 - 6 + x^{2} - 10 (x^{2} y^{3}) - 2 + 3 x^{2}$

$2 x^{2} y^{3} - 4 - 6 + x^{2} - 10 x^{2} y^{3} - 2 + 3 x^{2}$

Simplify by adding terms.

Subtract $10 x^{2} y^{3}$ from $2 x^{2} y^{3}$ .

$- 8 x^{2} y^{3} - 4 - 6 + x^{2} - 2 + 3 x^{2}$

Simplify by subtracting numbers.

Subtract $6$ from $- 4$ .

$- 8 x^{2} y^{3} - 10 + x^{2} - 2 + 3 x^{2}$

Subtract $2$ from $- 10$ .

$- 8 x^{2} y^{3} + x^{2} - 12 + 3 x^{2}$

Add $x^{2}$ and $3 x^{2}$ .

$- 8 x^{2} y^{3} + 4 x^{2} - 12$