Pre-Algebra Examples

$(5 x^{2} - x + 5) + (x^{2} + x - 5)$

Step 1

Remove parentheses.

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

Step 2

Combine the opposite terms in $5 x^{2} - x + 5 + x^{2} + x - 5$ .

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Step 2.1

Add $- x$ and $x$ .

$5 x^{2} + 5 + x^{2} + 0 - 5$

Step 2.2

Add $5 x^{2} + 5 + x^{2}$ and $0$ .

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

Step 2.3

Subtract $5$ from $5$ .

$5 x^{2} + x^{2} + 0$

Step 2.4

Add $5 x^{2} + x^{2}$ and $0$ .

$5 x^{2} + x^{2}$

Step 3

Add $5 x^{2}$ and $x^{2}$ .

$6 x^{2}$