what are the factors of $x^{2}-100$?\n$(x - 50)(x + 50)$\n$(x - 10)(x + 10)$\n$(x - 25)(x + 4)$\n$(x - 5)(x…

what are the factors of $x^{2}-100$?\n$(x - 50)(x + 50)$\n$(x - 10)(x + 10)$\n$(x - 25)(x + 4)$\n$(x - 5)(x + 20)$

what are the factors of $x^{2}-100$?\n$(x - 50)(x + 50)$\n$(x - 10)(x + 10)$\n$(x - 25)(x + 4)$\n$(x - 5)(x + 20)$

Answer

Explanation:

Step1: Recall difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a - b)(a + b)$. In the expression $x^{2}-100$, we have $a = x$ and $b = 10$ since $x^{2}$ is the square of $x$ and $100=10^{2}$.

Step2: Apply the formula

Substituting $a=x$ and $b = 10$ into the formula $a^{2}-b^{2}=(a - b)(a + b)$, we get $x^{2}-100=(x - 10)(x + 10)$.

Answer:

B. $(x - 10)(x + 10)$