which product is equivalent to 25x² - 16?\n(5x - 4)(5x + 4)\n(5x + 8)(5x - 8)\n(5x - 4)(5x - 4)\n(5x - 8)(5x…
which product is equivalent to 25x² - 16?\n(5x - 4)(5x + 4)\n(5x + 8)(5x - 8)\n(5x - 4)(5x - 4)\n(5x - 8)(5x - 8)
Answer
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 $b$ in $25x^{2}-16$
We can rewrite $25x^{2}-16$ as $(5x)^{2}-4^{2}$, where $a = 5x$ and $b = 4$.
Step3: Apply the formula
Using the difference - of - squares formula $(a - b)(a + b)$, we get $(5x-4)(5x + 4)$.
Answer:
A. $(5x - 4)(5x + 4)$