QuestionJune 7, 2025

Factor the expression completely: (3 Points) 81x^2-64 Enter your math answer

Factor the expression completely: (3 Points) 81x^2-64 Enter your math answer
Factor the expression completely: (3 Points) 81x^2-64 Enter your math answer

Solution
3.9(103 votes)

Answer

(9x + 8)(9x - 8) Explanation 1. Recognize the Difference of Squares The expression 81x^2 - 64 is a difference of squares, as it can be written in the form a^2 - b^2 where a = 9x and b = 8. 2. Apply the Difference of Squares Formula Use the formula **a^2 - b^2 = (a + b)(a - b)**. Here, substitute a = 9x and b = 8 to get (9x + 8)(9x - 8).

Explanation

1. Recognize the Difference of Squares<br /> The expression $81x^2 - 64$ is a difference of squares, as it can be written in the form $a^2 - b^2$ where $a = 9x$ and $b = 8$.<br /><br />2. Apply the Difference of Squares Formula<br /> Use the formula **$a^2 - b^2 = (a + b)(a - b)$**. Here, substitute $a = 9x$ and $b = 8$ to get $(9x + 8)(9x - 8)$.
Click to rate:

Similar Questions