which expression is a difference of squares with a factor of 5x - 8?\n25x² - 16\n25x² + 16\n25x² - 64\n25x²…
which expression is a difference of squares with a factor of 5x - 8?\n25x² - 16\n25x² + 16\n25x² - 64\n25x² + 64
Answer
Explanation:
Step1: Recall difference - of - squares formula
The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. If one factor is $a - b=5x-8$, then $a = 5x$ and $b = 8$.
Step2: Calculate $a^{2}-b^{2}$
If $a = 5x$ and $b = 8$, then $a^{2}-b^{2}=(5x)^{2}-8^{2}=25x^{2}-64$.
Answer:
$25x^{2}-64$