Factor Difference of Two Squares Game
To factor a difference of two squares (a²-b²), find the square root of each term and place them in two binomials: one with a plus sign and one with a minus sign, resulting in the factored form (a+b)(a-b). Scroll down the page for a more detailed explanation.
 
This game generates a binomial that is a difference of two squares. Identify the two perfect squares and enter the answers. If you give a wrong answer, the game will provide the correct answer.
 

Difference of Two Squares

Factor the expression (e.g., (2x + 3)(2x - 3)).

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Factor the expression:

Enter the factored form:

( x + - )

( x + - )

Check Next

Back to Menu

 

How to Play the Factor Difference of Two Squares Game
The game will show you a binomial that is a difference of two squares.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll see a binomial. LIdentify the two perfect squares.
   
3. Enter Your Answer: Enter the square root of each term numbers. Select the correct operator.
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to Factor Difference of Two Squares
To factor a difference of two squares (a²-b²), find the square root of each term and place them in two binomials: one with a plus sign and one with a minus sign, resulting in the factored form (a+b)(a-b).
 
Step 1: Identify the two perfect squares
Make sure you have two terms that are perfect squares. A perfect square is a number or expression that is the result of a number or expression multiplied by itself.
Check that there is a subtraction sign between the two terms.
Step 2: Find the square root of each term
For the first term (a²), find its square root, which is a.
For the second term (b²), find its square root, which is b.
Step 3: Write the factored form
Create two sets of parentheses.
Place the square root of the first term (a) at the beginning of each set of parentheses.
Place the square root of the second term (b) at the end of each set of parentheses.
In one set of parentheses, add a plus sign between the terms.
In the other, add a minus sign.
The final factored form is (a+b)(a-b).
 

The video gives a clear, step-by-step approach to factor difference of two squares.

• Show Video

 

Free Algebra Games
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