Factor the expression 9x2 - 1.

April 27, 2026Mathematics

ScanSolve AI Answer

April 27, 2026

Answer

(3x - 1)(3x + 1)

Step 1: Recognize the expression as a difference of squares. The expression $9x^2 - 1$ can be written in the form $a^2 - b^2$ .

Step 2: Identify $a$ and $b$ . $9x^2 = (3x)^2$ $1 = 1^2$ So, $a = 3x$ and $b = 1$ .

Step 3: Apply the difference of squares formula, $a^2 - b^2 = (a - b)(a + b)$ . Substitute $a = 3x$ and $b = 1$ into the formula: $(3x)^2 - 1^2 = (3x - 1)(3x + 1)$

The factored expression is: $\boxed{(3x - 1)(3x + 1)}$ Send me the next one 📸

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QGive answers to all questions from 1-50 Q2 Find the value of x if 3x+4=19. 3 Find the value of y when 2y-7=21.QA teacher chooses 3 pens. The teacher randomly guesses a pen to use on an assignment. He, he will ke…QA. Write an equation and solve it. 1. Six times a certain number decreased by two is four times the…QWhen a certain number is increased by five, the result is six times the same number decreased by ten…

See all Mathematics questions →

Still have questions?

Quick Answer

Recognize the expression as a difference of squares. The expression 9x^2 - 1 can be written in the form a^2 - b^2.

Asked on April 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 27, 2026

Step 1: Recognize the expression as a difference of squares. The expression 9x^2 - 1 can be written in the form a^2 - b^2. Step 2: Identify a and b. 9x^2 = (3x)^2 1 = 1^2 So, a = 3x and b = 1. Step 3: Apply the difference of squares formula, a^2 - b^2 = (a - b)(a + b). Substitute a = 3x and b = 1 into the formula: (3x)^2 - 1^2 = (3x - 1)(3x + 1) The factored expression is: (3x - 1)(3x + 1) Send me the next one 📸