Pre-Algebra Examples

$6 x^{2} + 10 x - 1 + - 5 x^{2} - 2 x + 1$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$6 x^{2} + 10 x - 1 - 5 x^{2} - 2 x + 1$

Step 2

Combine the opposite terms in $6 x^{2} + 10 x - 1 - 5 x^{2} - 2 x + 1$ .

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Step 2.1

Add $- 1$ and $1$ .

$6 x^{2} + 10 x - 5 x^{2} - 2 x + 0$

Step 2.2

Add $6 x^{2} + 10 x - 5 x^{2} - 2 x$ and $0$ .

$6 x^{2} + 10 x - 5 x^{2} - 2 x$

Step 3

Subtract $5 x^{2}$ from $6 x^{2}$ .

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

Step 4

Subtract $2 x$ from $10 x$ .

$x^{2} + 8 x$