Pre-Algebra Examples

$(4 x^{2} - 2 x + 8) + (2 x^{2} + 2 x - 5)$

Step 1

Remove parentheses.

$4 x^{2} - 2 x + 8 + 2 x^{2} + 2 x - 5$

Step 2

Combine the opposite terms in $4 x^{2} - 2 x + 8 + 2 x^{2} + 2 x - 5$ .

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Step 2.1

Add $- 2 x$ and $2 x$ .

$4 x^{2} + 8 + 2 x^{2} + 0 - 5$

Step 2.2

Add $4 x^{2} + 8 + 2 x^{2}$ and $0$ .

$4 x^{2} + 8 + 2 x^{2} - 5$

Step 3

Add $4 x^{2}$ and $2 x^{2}$ .

$6 x^{2} + 8 - 5$

Step 4

Subtract $5$ from $8$ .

$6 x^{2} + 3$