Finite Math Examples

$40 u - u w - 5 u^{2} + 8 w$

Step 1

Reorder terms.

$- 5 u^{2} - u w + 40 u + 8 w$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(- 5 u^{2} - u w) + 40 u + 8 w$

Step 2.2

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

$u (- 5 u - 1 w) - 8 (- 5 u - w)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 5 u - 1 w$ .

$(- 5 u - 1 w) (u - 8)$

Step 4

Rewrite $- 1 w$ as $- w$ .

$(- 5 u - w) (u - 8)$