18. Use Pascal's triangle to find the coefficients of the expanded polynomial (a + b)^3.
options:

A) 1 3 3 1
B) 1 2 1
C) 1 1
D) 1 4 6 4 1

Respuesta :

Answer:

Step-by-step explanation:

Hello, let's compute the first lines of the Pascal's triangle.

1

1 1

1 2 1

1 3 3 1

So for this question,

[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

And then, the correct answer is A.

Thank you

Using pascals triangle coefficients of the expanded polynomial (a + b )³ is  1  3  3  1. Option A is correct

What is the pascals triangle?

it is the array(in triangle form) of numbers, starting with 1 on the uvertexvetex and with 1's tending down to the two sides of a triangle. Each number lies between two numbers and down to them, and every value is the addition of the two numbers present at the above adjacent.

( a + b )³ = a³ + 3 a² b + 3 b² a + b³

Pascal's triangle =
              1
       1     2     1
  1       3     3      1  
1      4      6      4    1  
and so on
From the above triangle, it represents ( a + b )^n  where every number represents the coefficient. As for the given question the n = 3 so the third row in the pascal triangle i.e. coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.


Thus, the coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

Learn more about the pascals triangle here:
https://brainly.com/question/26134164

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