Algebra Examples

$(k - p) (k - n)$

Step 1

Expand $(k - p) (k - n)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$k (k - n) - p (k - n)$

Step 1.2

Apply the distributive property.

$k \cdot k + k (- n) - p (k - n)$

Step 1.3

Apply the distributive property.

$k \cdot k + k (- n) - p k - p (- n)$

Step 2

Simplify each term.

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Step 2.1

Multiply $k$ by $k$ .

$k^{2} + k (- n) - p k - p (- n)$

Step 2.2

Rewrite using the commutative property of multiplication.

$k^{2} - k n - p k - p (- n)$

Step 2.3

Rewrite using the commutative property of multiplication.

$k^{2} - k n - p k - 1 \cdot - 1 p n$

Step 2.4

Multiply $- 1$ by $- 1$ .

$k^{2} - k n - p k + 1 p n$

Step 2.5

Multiply $p$ by $1$ .

$k^{2} - k n - p k + p n$