Algebra Examples

$(a + b - c) (x - 3) - (b - c - a) (x - 3)$

Step 1

Factor $x - 3$ out of $(a + b - c) (x - 3) - (b - c - a) (x - 3)$ .

Tap for more steps...

Step 1.1

Factor $x - 3$ out of $(a + b - c) (x - 3)$ .

$(x - 3) (a + b - c) - (b - c - a) (x - 3)$

Step 1.2

Factor $x - 3$ out of $- (b - c - a) (x - 3)$ .

$(x - 3) (a + b - c) + (x - 3) (- (b - c - a))$

Step 1.3

Factor $x - 3$ out of $(x - 3) (a + b - c) + (x - 3) (- (b - c - a))$ .

$(x - 3) (a + b - c - (b - c - a))$

Step 2

Apply the distributive property.

$(x - 3) (a + b - c - b - - c - - a)$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Multiply $- - c$ .

Tap for more steps...

Step 3.1.1

Multiply $- 1$ by $- 1$ .

$(x - 3) (a + b - c - b + 1 c - - a)$

Step 3.1.2

Multiply $c$ by $1$ .

$(x - 3) (a + b - c - b + c - - a)$

Step 3.2

Multiply $- - a$ .

Tap for more steps...

Step 3.2.1

Multiply $- 1$ by $- 1$ .

$(x - 3) (a + b - c - b + c + 1 a)$

Step 3.2.2

Multiply $a$ by $1$ .

$(x - 3) (a + b - c - b + c + a)$

Step 4

Add $a$ and $a$ .

$(x - 3) (2 a + b - c - b + c)$

Step 5

Subtract $b$ from $b$ .

$(x - 3) (2 a - c + 0 + c)$

Step 6

Add $2 a$ and $0$ .

$(x - 3) (2 a - c + c)$

Step 7

Add $- c$ and $c$ .

$(x - 3) (2 a + 0)$

Step 8

Factor.

Tap for more steps...

Step 8.1

Add $2 a$ and $0$ .

$(x - 3) (2 a)$

Step 8.2

Remove unnecessary parentheses.

$(x - 3) \cdot 2 a$