Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

factor by using the difference of two squares form $x^{2}-100$ $x^{2}-1…

Question

factor by using the difference of two squares form
$x^{2}-100$
$x^{2}-100=square$

Explanation:

Step1: Recall difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$.

Step2: Identify $a$ and $b$

For the expression $x^{2}-100$, we have $a = x$ and $b = 10$ since $x^{2}=x\times x$ and $100 = 10\times10$.

Step3: Apply the formula

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

Answer:

$(x + 10)(x - 10)$