Question
determine if the expression shown can be factored using differences of two squares 9x^2+4
Will It be
Difference of two squares cannot be used because there are more than two terms
The expression can be factored using differences of two squares
Differences of two squares cannot be used because all terms are not perfect
Differences of two squares cannot be used because two terms are being added together
Will It be
Difference of two squares cannot be used because there are more than two terms
The expression can be factored using differences of two squares
Differences of two squares cannot be used because all terms are not perfect
Differences of two squares cannot be used because two terms are being added together
Answers
GPT-4o mini
The expression \( 9x^2 + 4 \) cannot be factored using the difference of two squares because it is in the form of a sum, not a difference. The difference of two squares applies specifically to expressions that can be written in the form \( a^2 - b^2 \).
In your case, \( 9x^2 + 4 \) consists of two squared terms added together:
- \( 9x^2 = (3x)^2 \)
- \( 4 = 2^2 \)
However, since the operation is addition (not subtraction), it does not fit the criteria for the difference of squares.
Therefore, the correct conclusion is: **Differences of two squares cannot be used because two terms are being added together.**
In your case, \( 9x^2 + 4 \) consists of two squared terms added together:
- \( 9x^2 = (3x)^2 \)
- \( 4 = 2^2 \)
However, since the operation is addition (not subtraction), it does not fit the criteria for the difference of squares.
Therefore, the correct conclusion is: **Differences of two squares cannot be used because two terms are being added together.**