which expression is equivalent to 100 n² - 1?\n(10n)² - (1)²\n(10n²)² - (1)²\n(50n)² - (1)²\n(50n²)² - (1)²
which expression is equivalent to 100 n² - 1?\n(10n)² - (1)²\n(10n²)² - (1)²\n(50n)² - (1)²\n(50n²)² - (1)²
Answer
Explanation:
Step1: Analyze the square - root of 100
We know that $\sqrt{100}=10$. So, $100n^{2}=(10n)^{2}$ and $1 = 1^{2}$.
Step2: Rewrite the expression
The expression $100n^{2}-1$ can be rewritten as $(10n)^{2}-(1)^{2}$.
Answer:
A. $(10n)^{2}-(1)^{2}$