Basic Math Examples

$(4 - 6 w) - (3 - 8 w)$

Step 1

Remove parentheses.

$4 - 6 w - (3 - 8 w)$

Step 2

Factor $- 1$ out of $4 - 6 w - (3 - 8 w)$ .

Tap for more steps...

Step 2.1

Reorder the expression.

Tap for more steps...

Step 2.1.1

Reorder $3$ and $- 8 w$ .

$4 - 6 w - (- 8 w + 3)$

Step 2.1.2

Move $4$ .

$- 6 w - (- 8 w + 3) + 4$

Step 2.2

Factor $- 1$ out of $- 6 w$ .

$- (6 w) - (- 8 w + 3) + 4$

Step 2.3

Rewrite $4$ as $- 1 (- 4)$ .

$- (6 w) - (- 8 w + 3) - 1 (- 4)$

Step 2.4

Factor $- 1$ out of $- (6 w) - (- 8 w + 3)$ .

$- (6 w - 8 w + 3) - 1 (- 4)$

Step 2.5

Factor $- 1$ out of $- (6 w - 8 w + 3) - 1 (- 4)$ .

$- (6 w - 8 w + 3 - 4)$

Step 3

Factor out the greatest common factor from each group.

Tap for more steps...

Step 3.1

Group the first two terms and the last two terms.

$- ((6 w - 8 w) + 3 - 4)$

Step 3.2

Factor out the greatest common factor (GCF) from each group.

$- (2 w (3 - 4) + 1 \cdot (3 - 4))$

Step 4

Factor the polynomial by factoring out the greatest common factor, $3 - 4$ .

$- ((3 - 4) (2 w + 1))$

Step 5

Factor.

Tap for more steps...

Step 5.1

Subtract $4$ from $3$ .

$- (- 1 (2 w + 1))$

Step 5.2

Remove unnecessary parentheses.

$- - 1 (2 w + 1)$

Step 6

Combine exponents.

Tap for more steps...

Step 6.1

Factor out negative.

$- (- 1 (2 w + 1))$

Step 6.2

Multiply $- 1$ by $- 1$ .

$1 (2 w + 1)$

Step 6.3

Multiply $2 w + 1$ by $1$ .

$2 w + 1$