Finite Math Examples

$(- 16 x^{2} - 19 x - 10) - (- 18 x^{2} - 13 x - 14)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 16 x^{2} - 19 x - 10 - (- 18 x^{2}) - (- 13 x) - - 14$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 18$ by $- 1$ .

$- 16 x^{2} - 19 x - 10 + 18 x^{2} - (- 13 x) - - 14$

Step 1.2.2

Multiply $- 13$ by $- 1$ .

$- 16 x^{2} - 19 x - 10 + 18 x^{2} + 13 x - - 14$

Step 1.2.3

Multiply $- 1$ by $- 14$ .

$- 16 x^{2} - 19 x - 10 + 18 x^{2} + 13 x + 14$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 16 x^{2}$ and $18 x^{2}$ .

$2 x^{2} - 19 x - 10 + 13 x + 14$

Step 2.2

Add $- 19 x$ and $13 x$ .

$2 x^{2} - 6 x - 10 + 14$

Step 2.3

Add $- 10$ and $14$ .

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