Pre-Algebra Examples

$(2 x^{2} - 4 x + 1) + (5 x + x^{2} - 1)$

Step 1

Remove parentheses.

$2 x^{2} - 4 x + 1 + 5 x + x^{2} - 1$

Step 2

Combine the opposite terms in $2 x^{2} - 4 x + 1 + 5 x + x^{2} - 1$ .

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Step 2.1

Subtract $1$ from $1$ .

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

Step 2.2

Add $2 x^{2} - 4 x + 5 x + x^{2}$ and $0$ .

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

Step 3

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

$3 x^{2} - 4 x + 5 x$

Step 4

Add $- 4 x$ and $5 x$ .

$3 x^{2} + x$