Simplify (u+5)(u-1)

$(u + 5) (u - 1)$

Step 1

Expand $(u + 5) (u - 1)$ using the FOIL Method.

Apply the distributive property.

$u (u - 1) + 5 (u - 1)$

Apply the distributive property.

$u \cdot u + u \cdot - 1 + 5 (u - 1)$

Apply the distributive property.

$u \cdot u + u \cdot - 1 + 5 u + 5 \cdot - 1$

$u \cdot u + u \cdot - 1 + 5 u + 5 \cdot - 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $u$ by $u$ .

$u^{2} + u \cdot - 1 + 5 u + 5 \cdot - 1$

Move $- 1$ to the left of $u$ .

$u^{2} - 1 \cdot u + 5 u + 5 \cdot - 1$

Rewrite $- 1 u$ as $- u$ .

$u^{2} - u + 5 u + 5 \cdot - 1$

Multiply $5$ by $- 1$ .

$u^{2} - u + 5 u - 5$

$u^{2} - u + 5 u - 5$

Add $- u$ and $5 u$ .

$u^{2} + 4 u - 5$

$u^{2} + 4 u - 5$

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