Algebra Examples

$(a + 2 b + 3 c) - (4 a + 6 b - 5 c)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$a + 2 b + 3 c - (4 a) - (6 b) - (- 5 c)$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $4$ by $- 1$ .

$a + 2 b + 3 c - 4 a - (6 b) - (- 5 c)$

Step 1.2.2

Multiply $6$ by $- 1$ .

$a + 2 b + 3 c - 4 a - 6 b - (- 5 c)$

Step 1.2.3

Multiply $- 5$ by $- 1$ .

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $4 a$ from $a$ .

$- 3 a + 2 b + 3 c - 6 b + 5 c$

Step 2.2

Subtract $6 b$ from $2 b$ .

$- 3 a - 4 b + 3 c + 5 c$

Step 2.3

Add $3 c$ and $5 c$ .

$- 3 a - 4 b + 8 c$

$- 3 a - 4 b + 8 c$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$