Algebra Examples

$- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$

Step 1

Subtract the second expression $- 3 x^{2} - x + 7$ from the first expression $- 7 x^{2} - 6 x + 9$ .

$- 7 x^{2} - 6 x + 9 - (- 3 x^{2} - x + 7)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 7 x^{2} - 6 x + 9 - (- 3 x^{2}) - - x - 1 \cdot 7$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 3$ by $- 1$ .

$- 7 x^{2} - 6 x + 9 + 3 x^{2} - - x - 1 \cdot 7$

Step 2.2.2

Multiply $- - x$ .

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Step 2.2.2.1

Multiply $- 1$ by $- 1$ .

$- 7 x^{2} - 6 x + 9 + 3 x^{2} + 1 x - 1 \cdot 7$

Step 2.2.2.2

Multiply $x$ by $1$ .

$- 7 x^{2} - 6 x + 9 + 3 x^{2} + x - 1 \cdot 7$

Step 2.2.3

Multiply $- 1$ by $7$ .

$- 7 x^{2} - 6 x + 9 + 3 x^{2} + x - 7$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 7 x^{2}$ and $3 x^{2}$ .

$- 4 x^{2} - 6 x + 9 + x - 7$

Step 3.2

Add $- 6 x$ and $x$ .

$- 4 x^{2} - 5 x + 9 - 7$

Step 3.3

Subtract $7$ from $9$ .

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