Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.. . (2x + 4)^3

2 answers:

7 0

A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64

hjlf3 years ago

3 0

Before even trying to put this into the binomial form, we must figure out the coefficients. If we go by the Pascal's Triangles way we should end up with:

1 1

1 2 1

1 3 3 1

Going by the last level (which is the third level) we get 3C0:1, 3C1:3, 3C2:3, 3C3:1.

Now with the equation: (a+b)^3 = 3C0a^3 + 3C1a^2 b + 3C2a b^2 + 3C3b^3 we just plug in all the values and simplify

(2x+4)^3 = 2x^3 + 3(2x)^2 (4) + 3(2x) (4)^2 + (4)^3

(2x+4)^3 = 8x^3 + (3)(4x^2)(4) + (3)(2x)(16) + 64

Then we finally end with: (2x+4)^3 = 8x^3 48x^2 + 96x +64

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in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

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Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=100, p=0.11)$