Algebra Examples

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

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Simplify.

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Step 2.2.1

Multiply $2$ by $- 1$ .

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

Step 2.2.2

Multiply $- - x$ .

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Step 2.2.2.1

Multiply $- 1$ by $- 1$ .

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

Step 2.2.2.2

Multiply $x$ by $1$ .

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

Step 2.2.3

Multiply $- 1$ by $3$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

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

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Step 3.1.1

Subtract $3$ from $3$ .

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

Step 3.1.2

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

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

Step 3.2

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

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

Step 3.3

Add $- 4 x$ and $x$ .

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