Simplify (-4x+3)-(7x-3x^2-1)

$(- 4 x + 3) - (7 x - 3 x^{2} - 1)$

Step 1

Simplify each term.

Apply the distributive property.

$- 4 x + 3 - (7 x) - (- 3 x^{2}) - - 1$

Simplify.

Multiply $7$ by $- 1$ .

$- 4 x + 3 - 7 x - (- 3 x^{2}) - - 1$

Multiply $- 3$ by $- 1$ .

$- 4 x + 3 - 7 x + 3 x^{2} - - 1$

Multiply $- 1$ by $- 1$ .

$- 4 x + 3 - 7 x + 3 x^{2} + 1$

$- 4 x + 3 - 7 x + 3 x^{2} + 1$

$- 4 x + 3 - 7 x + 3 x^{2} + 1$

Step 2

Simplify by adding terms.

Subtract $7 x$ from $- 4 x$ .

$- 11 x + 3 + 3 x^{2} + 1$

Simplify the expression.

Add $3$ and $1$ .

$- 11 x + 3 x^{2} + 4$

Reorder $- 11 x$ and $3 x^{2}$ .

$3 x^{2} - 11 x + 4$

$3 x^{2} - 11 x + 4$

$3 x^{2} - 11 x + 4$

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