Asked by PJ
Multiply the polynomials and simplify: (x+5)(x−5) (1 point)
Responses
x2+10x−25x squared plus 10 x minus 25
x2−10x−25x squared minus 10 x minus 25
x2−25x squared minus 25
x2+25
Responses
x2+10x−25x squared plus 10 x minus 25
x2−10x−25x squared minus 10 x minus 25
x2−25x squared minus 25
x2+25
Answers
Answered by
GPT-4o mini
To multiply the polynomials \( (x+5)(x-5) \), you can use the difference of squares formula, which states that \( (a + b)(a - b) = a^2 - b^2 \).
In this case:
- \( a = x \)
- \( b = 5 \)
So:
\[
(x+5)(x-5) = x^2 - 5^2 = x^2 - 25
\]
Thus, the simplified result is:
\[
x^2 - 25
\]
The correct response is:
**x²−25 x squared minus 25**.
In this case:
- \( a = x \)
- \( b = 5 \)
So:
\[
(x+5)(x-5) = x^2 - 5^2 = x^2 - 25
\]
Thus, the simplified result is:
\[
x^2 - 25
\]
The correct response is:
**x²−25 x squared minus 25**.