Simplify (8x^2+3x)-(12x^2-1)

$(8 x^{2} + 3 x) - (12 x^{2} - 1)$

Simplify each term.

Apply the distributive property.

$8 x^{2} + 3 x - (12 x^{2}) - - 1$

Multiply $12$ by $- 1$ .

$8 x^{2} + 3 x - 12 x^{2} - - 1$

Multiply $- 1$ by $- 1$ .

$8 x^{2} + 3 x - 12 x^{2} + 1$

$8 x^{2} + 3 x - 12 x^{2} + 1$

Subtract $12 x^{2}$ from $8 x^{2}$ .

$- 4 x^{2} + 3 x + 1$

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