Simplify (j+7)(j-7)

$(j + 7) (j - 7)$

Step 1

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

Apply the distributive property.

$j (j - 7) + 7 (j - 7)$

Apply the distributive property.

$j \cdot j + j \cdot - 7 + 7 (j - 7)$

Apply the distributive property.

$j \cdot j + j \cdot - 7 + 7 j + 7 \cdot - 7$

Step 2

Simplify terms.

Combine the opposite terms in $j \cdot j + j \cdot - 7 + 7 j + 7 \cdot - 7$ .

Reorder the factors in the terms $j \cdot - 7$ and $7 j$ .

$j \cdot j - 7 j + 7 j + 7 \cdot - 7$

Add $- 7 j$ and $7 j$ .

$j \cdot j + 0 + 7 \cdot - 7$

Add $j \cdot j$ and $0$ .

$j \cdot j + 7 \cdot - 7$

Simplify each term.

Multiply $j$ by $j$ .

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

Multiply $7$ by $- 7$ .

$j^{2} - 49$