Simplify (-4x^4+6x^2+3)-(5x^2-3)

$(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)$

Simplify each term.

Apply the distributive property.

$- 4 x^{4} + 6 x^{2} + 3 - (5 x^{2}) - - 3$

Multiply $5$ by $- 1$ .

$- 4 x^{4} + 6 x^{2} + 3 - 5 x^{2} - - 3$

Multiply $- 1$ by $- 3$ .

$- 4 x^{4} + 6 x^{2} + 3 - 5 x^{2} + 3$

$- 4 x^{4} + 6 x^{2} + 3 - 5 x^{2} + 3$

Simplify by adding terms.

Subtract $5 x^{2}$ from $6 x^{2}$ .

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

Add $3$ and $3$ .

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

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

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