Pre-Algebra Examples

$(3 x^{2} + 2 x + 1) + (2 x^{2} - 4 x - 5) + (3 x - 1)$

Step 1

Remove parentheses.

$3 x^{2} + 2 x + 1 + 2 x^{2} - 4 x - 5 + 3 x - 1$

Step 2

Combine the opposite terms in $3 x^{2} + 2 x + 1 + 2 x^{2} - 4 x - 5 + 3 x - 1$ .

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Step 2.1

Subtract $1$ from $1$ .

$3 x^{2} + 2 x + 2 x^{2} - 4 x - 5 + 3 x + 0$

Step 2.2

Add $3 x^{2} + 2 x + 2 x^{2} - 4 x - 5 + 3 x$ and $0$ .

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

Step 3

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

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

Step 4

Subtract $4 x$ from $2 x$ .

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

Step 5

Add $- 2 x$ and $3 x$ .

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