Simplify (n+7)(n-2)

$(n + 7) (n - 2)$

Step 1

Expand $(n + 7) (n - 2)$ using the FOIL Method.

Apply the distributive property.

$n (n - 2) + 7 (n - 2)$

Apply the distributive property.

$n \cdot n + n \cdot - 2 + 7 (n - 2)$

Apply the distributive property.

$n \cdot n + n \cdot - 2 + 7 n + 7 \cdot - 2$

$n \cdot n + n \cdot - 2 + 7 n + 7 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $n$ by $n$ .

$n^{2} + n \cdot - 2 + 7 n + 7 \cdot - 2$

Move $- 2$ to the left of $n$ .

$n^{2} - 2 \cdot n + 7 n + 7 \cdot - 2$

Multiply $7$ by $- 2$ .

$n^{2} - 2 n + 7 n - 14$

$n^{2} - 2 n + 7 n - 14$

Add $- 2 n$ and $7 n$ .

$n^{2} + 5 n - 14$

$n^{2} + 5 n - 14$

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