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OverLord2011 [107]
2 years ago
10

Write the product 3i(5 - 3i) in the form a + bi.

Mathematics
1 answer:
stiks02 [169]2 years ago
3 0

Answer:

9+15i

Step-by-step explanation:

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The expression _nC_3  is referring to the 4th number in the nth row of the Pascal triangle.

The expression _nC_3 is given.

We need to find which place number in the nth row of the pascal triangle the given expression represents.

<h3>What is a Pascal Triangle?</h3>

Pascal triangle is an arrangement of binomial coefficients in a triangular form and the middle numbers are filled such that each number is the sum of the two numbers just above it.

The elements of the nth row of Pascal's triangle are given by:

^nC_0, ^nC_1,^nC_2,^nC_3,..........,^nC_n

The formula for Pascal's triangle is:

^nC_m = ^{n-1}C_{m-1}+^{n-1}C_m

Where ^nC_m represents (m+1)^{th} elements in the nth row.

We have,

^nC_3~~or~~_nC_3

So applying the Pascal triangle formula.

We see that we are referring to the 4th number in the nth row of the Pascal triangle.

Because ^nC_3 represents (3+1)^{th} element in the nth row of the pascal triangle.

(3+1)^{th}~element = 4^{th}~element

Learn more about the Pascal triangle here:

brainly.com/question/26134164

#SPJ1

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