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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