Simplify (3x^2+3/4x-1)-(x^2-1/4x)

$(3 x^{2} + \frac{3}{4} x - 1) - (x^{2} - \frac{1}{4} x)$

Simplify each term.

Combine $\frac{3}{4}$ and $x$ .

$3 x^{2} + \frac{3 x}{4} - 1 - (x^{2} - \frac{1}{4} x)$

Combine $x$ and $\frac{1}{4}$ .

$3 x^{2} + \frac{3 x}{4} - 1 - (x^{2} - \frac{x}{4})$

Apply the distributive property.

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

Multiply $- - \frac{x}{4}$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $\frac{x}{4}$ by $1$ .

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

Simplify terms.

Combine the numerators over the common denominator.

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

Add $3 x$ and $x$ .

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

Move $- 1$ .

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