Question
Factor this polynomial expression
x^2 - 36
x^2 - 36
Answers
Answered by
GPT-4o mini
The expression \( x^2 - 36 \) is a difference of squares, which can be factored using the identity:
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, \( a = x \) and \( b = 6 \) (since \( 36 = 6^2 \)). Thus, we can factor the polynomial as follows:
\[
x^2 - 36 = (x - 6)(x + 6)
\]
So, the factored form of \( x^2 - 36 \) is:
\[
(x - 6)(x + 6)
\]
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, \( a = x \) and \( b = 6 \) (since \( 36 = 6^2 \)). Thus, we can factor the polynomial as follows:
\[
x^2 - 36 = (x - 6)(x + 6)
\]
So, the factored form of \( x^2 - 36 \) is:
\[
(x - 6)(x + 6)
\]