Question

introduction homework (standard 0)
score: 11/28 answered: 10/25
question 11
factor $81x^2 - 4$
question help: message instructor post to forum

Explanation:

Step1: Identify the form

The expression $81x^2 - 4$ is a difference of squares. The formula for factoring a difference of squares is $a^2 - b^2=(a + b)(a - b)$.

Step2: Find a and b

For $81x^2 - 4$, we can rewrite $81x^2$ as $(9x)^2$ and $4$ as $2^2$. So, $a = 9x$ and $b = 2$.

Step3: Apply the formula

Using the difference of squares formula, we get $(9x + 2)(9x - 2)$.

Answer:

$\boldsymbol{(9x + 2)(9x - 2)}$