Finite Math Examples

$y (x - 8) + 2 (8 - x)$

Step 1

Apply the distributive property.

$y x + y \cdot - 8 + 2 (8 - x)$

Step 2

Move $- 8$ to the left of $y$ .

$y x - 8 y + 2 (8 - x)$

Step 3

Apply the distributive property.

$y x - 8 y + 2 \cdot 8 + 2 (- x)$

Step 4

Multiply $2$ by $8$ .

$y x - 8 y + 16 + 2 (- x)$

Step 5

Multiply $- 1$ by $2$ .

$y x - 8 y + 16 - 2 x$

Step 6

Rewrite $y x - 8 y + 16 - 2 x$ in a factored form.

Tap for more steps...

Step 6.1

Reorder terms.

$x y - 2 x - 8 y + 16$

Step 6.2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 6.2.1

Group the first two terms and the last two terms.

$(x y - 2 x) - 8 y + 16$

Step 6.2.2

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

$x (y - 2) - 8 (y - 2)$

Step 6.3

Factor the polynomial by factoring out the greatest common factor, $y - 2$ .

$(y - 2) (x - 8)$