Pre-Algebra Examples

Find the sum of $- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$

Step 1

Write the problem as a mathematical expression.

$- 3 x^{2} - x - 10 + 10 x^{2} + x - 10$

Step 2

Combine the opposite terms in $- 3 x^{2} - x - 10 + 10 x^{2} + x - 10$ .

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Step 2.1

Add $- x$ and $x$ .

$- 3 x^{2} - 10 + 10 x^{2} + 0 - 10$

Step 2.2

Add $- 3 x^{2} - 10 + 10 x^{2}$ and $0$ .

$- 3 x^{2} - 10 + 10 x^{2} - 10$

Step 3

Add $- 3 x^{2}$ and $10 x^{2}$ .

$7 x^{2} - 10 - 10$

Step 4

Subtract $10$ from $- 10$ .

$7 x^{2} - 20$