Simplify (p+6)(p-4)

$(p + 6) (p - 4)$

Step 1

Expand $(p + 6) (p - 4)$ using the FOIL Method.

Apply the distributive property.

$p (p - 4) + 6 (p - 4)$

Apply the distributive property.

$p \cdot p + p \cdot - 4 + 6 (p - 4)$

Apply the distributive property.

$p \cdot p + p \cdot - 4 + 6 p + 6 \cdot - 4$

$p \cdot p + p \cdot - 4 + 6 p + 6 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $p$ by $p$ .

$p^{2} + p \cdot - 4 + 6 p + 6 \cdot - 4$

Move $- 4$ to the left of $p$ .

$p^{2} - 4 \cdot p + 6 p + 6 \cdot - 4$

Multiply $6$ by $- 4$ .

$p^{2} - 4 p + 6 p - 24$

$p^{2} - 4 p + 6 p - 24$

Add $- 4 p$ and $6 p$ .

$p^{2} + 2 p - 24$

$p^{2} + 2 p - 24$

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