Algebra Examples

$3 x^{2} + 7 x - 4$ $8 x^{2} - 6 x + 2$

Step 1

Subtract the second expression $8 x^{2} - 6 x + 2$ from the first expression $3 x^{2} + 7 x - 4$ .

$3 x^{2} + 7 x - 4 - (8 x^{2} - 6 x + 2)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 x^{2} + 7 x - 4 - (8 x^{2}) - (- 6 x) - 1 \cdot 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $8$ by $- 1$ .

$3 x^{2} + 7 x - 4 - 8 x^{2} - (- 6 x) - 1 \cdot 2$

Step 2.2.2

Multiply $- 6$ by $- 1$ .

$3 x^{2} + 7 x - 4 - 8 x^{2} + 6 x - 1 \cdot 2$

Step 2.2.3

Multiply $- 1$ by $2$ .

$3 x^{2} + 7 x - 4 - 8 x^{2} + 6 x - 2$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $8 x^{2}$ from $3 x^{2}$ .

$- 5 x^{2} + 7 x - 4 + 6 x - 2$

Step 3.2

Add $7 x$ and $6 x$ .

$- 5 x^{2} + 13 x - 4 - 2$

Step 3.3

Subtract $2$ from $- 4$ .

$- 5 x^{2} + 13 x - 6$