Question
determine if the expression shown can be factored using differences of two squares 1-×^2
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 given is \( 1 - x^2 \). This can indeed be factored using the difference of two squares, which is based on the formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can let \( a = 1 \) and \( b = x \). Therefore, we have:
\[
1 - x^2 = (1)^2 - (x)^2 = (1 - x)(1 + x)
\]
So, the expression \( 1 - x^2 \) can be factored using the difference of two squares.
Thus, the correct answer is:
**The expression can be factored using differences of two squares.**
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can let \( a = 1 \) and \( b = x \). Therefore, we have:
\[
1 - x^2 = (1)^2 - (x)^2 = (1 - x)(1 + x)
\]
So, the expression \( 1 - x^2 \) can be factored using the difference of two squares.
Thus, the correct answer is:
**The expression can be factored using differences of two squares.**