Factor completely: $$ t^{2}-100=\square $$ Ouaction Haln.

Question

UpStudy AI · Accepted Answer

To factor the expression $$ t^{2} - 100 $$ completely, we can recognize it as a **difference of squares**. The difference of squares formula is:

$$
a^{2} - b^{2} = (a - b)(a + b)
$$

Here, $$ a = t $$ and $$ b = 10 $$ because $$ 100 = 10^{2} $$. Applying the formula:

$$
t^{2} - 100 = t^{2} - 10^{2} = (t - 10)(t + 10)
$$

**Final Factored Form:**

$$
t^{2} - 100 = (t - 10)(t + 10)
$$
$$ t^{2} - 100 = (t - 10)(t + 10) $$

Factor completely: \( t^{2}-100=\square \) Ouaction Haln.