Stephens Erickson
08/30/2023 · High School
17. Desarrolla el siguiente binomio \( (x+8)^{2} \) Aplique la formula para resolver el binoni A) \( x^{2}+16 x-64 \) B) \( x^{2}-16 x-64 \) C) \( x^{2}+16 x+64 \) D) \( x^{2}-16 x+64 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para desarrollar el binomio \( (x+8)^{2} \), podemos utilizar la fórmula del cuadrado de un binomio, que es:
\[
(a + b)^{2} = a^{2} + 2ab + b^{2}
\]
En este caso, \( a = x \) y \( b = 8 \). Aplicamos la fórmula:
1. \( a^{2} = x^{2} \)
2. \( 2ab = 2 \cdot x \cdot 8 = 16x \)
3. \( b^{2} = 8^{2} = 64 \)
Ahora, sumamos todos los términos:
\[
(x + 8)^{2} = x^{2} + 16x + 64
\]
Por lo tanto, la respuesta correcta es:
C) \( x^{2} + 16x + 64 \)
Quick Answer
C) \( x^{2} + 16x + 64 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit