Algebra Examples

$- 10 a^{2} + 6 a^{3} + 3 a + - 6 a^{3} - 4 a + 8 a^{2}$

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 $1 \cdot - 1 = - 1$

$- 10 a^{2} + 6 a^{3} + 3 a - 6 a^{3} - 4 a + 8 a^{2}$

Step 2

Combine the opposite terms in $- 10 a^{2} + 6 a^{3} + 3 a - 6 a^{3} - 4 a + 8 a^{2}$ .

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Step 2.1

Subtract $6 a^{3}$ from $6 a^{3}$ .

$- 10 a^{2} + 3 a + 0 - 4 a + 8 a^{2}$

Step 2.2

Add $- 10 a^{2} + 3 a$ and $0$ .

$- 10 a^{2} + 3 a - 4 a + 8 a^{2}$

Step 3

Add $- 10 a^{2}$ and $8 a^{2}$ .

$- 2 a^{2} + 3 a - 4 a$

Step 4

Subtract $4 a$ from $3 a$ .

$- 2 a^{2} - a$