Subtract -3x^2-4x+3 and 2x^2-x+3

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Algebra

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

Subtract the second expression $2 x^{2} - x + 3$ from the first expression $- 3 x^{2} - 4 x + 3$ .

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

Simplify each term.

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Apply the distributive property.

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

Simplify.

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Multiply $2$ by $- 1$ .

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

Multiply $- - x$ .

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Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

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

Multiply $- 1$ by $3$ .

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

Simplify by adding terms.

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Combine the opposite terms in $- 3 x^{2} - 4 x + 3 - 2 x^{2} + x - 3$ .

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Subtract $3$ from $3$ .

$- 3 x^{2} - 4 x - 2 x^{2} + x + 0$

Add $- 3 x^{2} - 4 x - 2 x^{2} + x$ and $0$ .

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

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

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

Add $- 4 x$ and $x$ .

$- 5 x^{2} - 3 x$

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