Finite Math Examples

$(16 x^{2} + 7 x + 12) - (19 x^{2} - 6 x + 13)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$16 x^{2} + 7 x + 12 - (19 x^{2}) - (- 6 x) - 1 \cdot 13$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $19$ by $- 1$ .

$16 x^{2} + 7 x + 12 - 19 x^{2} - (- 6 x) - 1 \cdot 13$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$16 x^{2} + 7 x + 12 - 19 x^{2} + 6 x - 1 \cdot 13$

Step 1.2.3

Multiply $- 1$ by $13$ .

$16 x^{2} + 7 x + 12 - 19 x^{2} + 6 x - 13$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $19 x^{2}$ from $16 x^{2}$ .

$- 3 x^{2} + 7 x + 12 + 6 x - 13$

Step 2.2

Add $7 x$ and $6 x$ .

$- 3 x^{2} + 13 x + 12 - 13$

Step 2.3

Subtract $13$ from $12$ .

$- 3 x^{2} + 13 x - 1$