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Bingel [31]
1 year ago
14

How is Pascal's triangle used in binomial theorem?.

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
7 0

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

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which best describes your ability to calculate and describe relationships among area,perimeter and circumference
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Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex
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3 years ago
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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)
Vlada [557]
We want to find \displaystyle{  \frac{dy}{dx}, for

            \displaystyle{ y=(x^2+2)^3(x^3+3)^2.

Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

                                  (fg)'=f'g+g'f.

Thus,

 y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3

Answer: A)      3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3.



8 0
4 years ago
WILL GIVE BRAINLIEST <br><br> 5 = h/3 - 17 <br> h = ?<br> (h/3 is a fraction)
Nat2105 [25]

Answer:

h = 66

Step-by-step explanation:

We are given the equation of one variable h and we have to solve the equation for h.

The equation is given by 5 = \frac{h}{3} - 17

⇒ 5 + 17 = \frac{h}{3} {Adding 17 to both sides}

⇒ 22 = \frac{h}{3}

⇒ h = 22 × 3 {Since we know that if \frac{a}{b} = c then we can write a = bc}

⇒ h = 66 (Answer)

7 0
3 years ago
Read 2 more answers
Jenny bakes 10 cookies. She puts 7 chocolate chips on each cookie. Draw a tape diagram, and label the total amount of chocolate
IgorC [24]
Jenny bakes 10 cookies. she puts 7 chocolate chips on each cookie draw a tape diagram and label the total amount
3 0
3 years ago
Which whole number is located closest to 22 −−−√<br> ???? <br> A. 4<br> B. 22<br> C. 5<br> D. 25
Lana71 [14]

The <u>whole number</u> <u>closest </u>to √22 is 5.

The square root of 22 is:

= √22

= 4.69

The whole number that it is closest to will <u>depend on the first decimal point</u>.

If it is 5 or above then it will be closest to 5.

If it is 4 and below, then it is closest to 4.

The first decimal point is 6 so √22 is closer to 5.

In conclusion, the square root of 22 is closer to 5.

<em>Find out more at brainly.com/question/3409224.</em>

8 0
2 years ago
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