Vega Kirk
09/22/2023 · Junior High School
75. Multiplica cada trinornio de la forma \( a x^{2 n}+b x^{n}+c p \) el valor de \( a \) \( \begin{array}{ll}\text { a. } 3 x^{2}+6 x+2 & \text { b. } 2 x^{2}-5 x+4 \\ \text { c. } 6 x^{2}-10 x+7 & \text { d. } 5 x^{4}+3 x^{2}+1 \\ \text { e. } 7 x^{8}-4 x^{4}+3 & \text { f. } 4 x^{2}-x+3\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para resolver este problema, debes multiplicar cada trinomio de la forma \( ax^{2n} + bx^n + c \) por el valor de \( a \). Vamos a hacerlo paso a paso con cada opción:
a. \( 3x^2 + 6x + 2 \)
Multiplicamos por 3:
\[ 3(3x^2) + 3(6x) + 3(2) = 9x^2 + 18x + 6 \]
b. \( 2x^2 - 5x + 4 \)
Multiplicamos por 2:
\[ 2(2x^2) + 2(-5x) + 2(4) = 4x^2 - 10x + 8 \]
c. \( 6x^2 - 10x + 7 \)
Multiplicamos por 6:
\[ 6(6x^2) + 6(-10x) + 6(7) = 36x^2 - 60x + 42 \]
d. \( 5x^4 + 3x^2 + 1 \)
Multiplicamos por 5:
\[ 5(5x^4) + 5(3x^2) + 5(1) = 25x^4 + 15x^2 + 5 \]
e. \( 7x^8 - 4x^4 + 3 \)
Multiplicamos por 7:
\[ 7(7x^8) + 7(-4x^4) + 7(3) = 49x^8 - 28x^4 + 21 \]
f. \( 4x^2 - x + 3 \)
Multiplicamos por 4:
\[ 4(4x^2) + 4(-x) + 4(3) = 16x^2 - 4x + 12 \]
Aquí tienes los resultados multiplicados por el valor de \( a \) para cada trinomio:
a. \( 9x^2 + 18x + 6 \)
b. \( 4x^2 - 10x + 8 \)
c. \( 36x^2 - 60x + 42 \)
d. \( 25x^4 + 15x^2 + 5 \)
e. \( 49x^8 - 28x^4 + 21 \)
f. \( 16x^2 - 4x + 12 \)
Quick Answer
a. \( 9x^2 + 18x + 6 \)
b. \( 4x^2 - 10x + 8 \)
c. \( 36x^2 - 60x + 42 \)
d. \( 25x^4 + 15x^2 + 5 \)
e. \( 49x^8 - 28x^4 + 21 \)
f. \( 16x^2 - 4x + 12 \)
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