Find the Product (t-7)(t+7)

$(t - 7) (t + 7)$

Step 1

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

Apply the distributive property.

$t (t + 7) - 7 (t + 7)$

Apply the distributive property.

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

Apply the distributive property.

$t \cdot t + t \cdot 7 - 7 t - 7 \cdot 7$

Step 2

Simplify terms.

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

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

$t \cdot t + 7 t - 7 t - 7 \cdot 7$

Subtract $7 t$ from $7 t$ .

$t \cdot t + 0 - 7 \cdot 7$

Add $t \cdot t$ and $0$ .

$t \cdot t - 7 \cdot 7$

Simplify each term.

Multiply $t$ by $t$ .

$t^{2} - 7 \cdot 7$

Multiply $- 7$ by $7$ .

$t^{2} - 49$