determine the product of the expression shown below. leave your answer in simplest form. (12t - 5)(12t + 5)…
determine the product of the expression shown below. leave your answer in simplest form. (12t - 5)(12t + 5) enter your response in the space provided below.
Answer
Explanation:
Step1: Apply difference - of - squares formula
The formula is $(a - b)(a + b)=a^{2}-b^{2}$. Here $a = 12t$ and $b = 5$. $(12t-5)(12t + 5)=(12t)^{2}-5^{2}$
Step2: Calculate the squares
$(12t)^{2}=144t^{2}$ and $5^{2}=25$. $(12t)^{2}-5^{2}=144t^{2}-25$
Answer:
$144t^{2}-25$