Algebra Examples

$4 a - 3 b + 2 c$ and $- 6 a + 4 b - 2 c - 2$

Step 1

Subtract the second expression $- 6 a + 4 b - 2 c - 2$ from the first expression $4 a - 3 b + 2 c$ .

$4 a - 3 b + 2 c - (- 6 a + 4 b - 2 c - 2)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 a - 3 b + 2 c - (- 6 a) - (4 b) - (- 2 c) - - 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 6$ by $- 1$ .

$4 a - 3 b + 2 c + 6 a - (4 b) - (- 2 c) - - 2$

Step 2.2.2

Multiply $4$ by $- 1$ .

$4 a - 3 b + 2 c + 6 a - 4 b - (- 2 c) - - 2$

Step 2.2.3

Multiply $- 2$ by $- 1$ .

$4 a - 3 b + 2 c + 6 a - 4 b + 2 c - - 2$

Step 2.2.4

Multiply $- 1$ by $- 2$ .

$4 a - 3 b + 2 c + 6 a - 4 b + 2 c + 2$

Step 3

Simplify by adding terms.

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Step 3.1

Add $4 a$ and $6 a$ .

$10 a - 3 b + 2 c - 4 b + 2 c + 2$

Step 3.2

Subtract $4 b$ from $- 3 b$ .

$10 a - 7 b + 2 c + 2 c + 2$

Step 3.3

Add $2 c$ and $2 c$ .

$10 a - 7 b + 4 c + 2$