Pre-Algebra Examples

$(- 6 x^{2} + 19 x + 19) - (- 10 x^{2} + 16 x - 15)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 6 x^{2} + 19 x + 19 - (- 10 x^{2}) - (16 x) - - 15$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 10$ by $- 1$ .

$- 6 x^{2} + 19 x + 19 + 10 x^{2} - (16 x) - - 15$

Step 1.2.2

Multiply $16$ by $- 1$ .

$- 6 x^{2} + 19 x + 19 + 10 x^{2} - 16 x - - 15$

Step 1.2.3

Multiply $- 1$ by $- 15$ .

$- 6 x^{2} + 19 x + 19 + 10 x^{2} - 16 x + 15$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 6 x^{2}$ and $10 x^{2}$ .

$4 x^{2} + 19 x + 19 - 16 x + 15$

Step 2.2

Subtract $16 x$ from $19 x$ .

$4 x^{2} + 3 x + 19 + 15$

Step 2.3

Add $19$ and $15$ .

$4 x^{2} + 3 x + 34$