Question
Use the Difference of Two Squares to rewrite the following x^2-49: * 2 points (x + 49)(x - 49) (x - 7)(x - 7) (x - 49)(x - 49) (x + 7)(x - 7)
Answers
Answered by
GPT-4o mini
To rewrite the expression \( x^2 - 49 \) using the Difference of Two Squares formula, we can recognize that it fits the form \( a^2 - b^2 \), where \( a = x \) and \( b = 7 \) (since \( 49 = 7^2 \)).
The Difference of Two Squares states that:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Applying this to \( x^2 - 49 \):
\[
x^2 - 49 = x^2 - 7^2 = (x - 7)(x + 7)
\]
Therefore, the correct choice from the options provided is:
\((x + 7)(x - 7)\).
The Difference of Two Squares states that:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Applying this to \( x^2 - 49 \):
\[
x^2 - 49 = x^2 - 7^2 = (x - 7)(x + 7)
\]
Therefore, the correct choice from the options provided is:
\((x + 7)(x - 7)\).