1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eduardwww [97]
3 years ago
9

Use pascal's triangle to expand the binomial (d-5y)^6 please show work

Mathematics
2 answers:
Ratling [72]3 years ago
4 0
Pascals triangle to the 6th:
1                                     x^0
1 1                                  x^1
1 2 1                               x^2
1 3 3 1                           x^3
1 4 6 4 1                        x^4
1 5 10 10 5 1                x^5
1 6 15 20 15 6 1          x^6<span>

</span>the problem is to the 6th power so your going to use the 6th row of pascals triangle (don't count the first row). these numbers represent the coefficients of the variables

1(d-5y)^6 + 6(d-5y)^5 + 15(d-5y)^4 + 20(d-5y)^3 + 15(d-5y)^2 + 6(d-5y) + 1
then simplify

PilotLPTM [1.2K]3 years ago
4 0

Answer:

d^6 - 30 d^5 y + 375 d^4 y^2 - 2500 d^3 y^3 + 9375 d^2 y^4 - 18750 d y^5 + 15625 y^6

Step-by-step explanation:

                    1                                 n=0

                 1    1                                n=1

            1      2     1                            n=2

         1      3     3       1                       n=3

      1    4      6      4        1                  n=4

   1   5    10     10        5     1                n=5

1    6     15     20     15     6      1          n=6

(d-5y)^6 we have exponent 6, so we use the numbers in pascals triangle where n=6

1    6     15     20     15     6      1  are the coefficients

(a+b)^ 6 = 1a^6 + 6a^5b^1 + 15a^4b^2 +20a^3b^3 +15a^2b^4 +6a^1b^5 + 1b^6

We have d in the place of 'a'  and -5y in the place of b

(d-5y)^ 6 = 1d^6 + 6d^5(-5y)^1 + 15d^4(-5y)^2 +20d^3(-5y)^3 +15d^2(-5y)^4 +6d^1(-5y)^5 + 1(-5y)^6

When we simplify the exponents it becomes

d^6 - 30 d^5 y + 375 d^4 y^2 - 2500 d^3 y^3 + 9375 d^2 y^4 - 18750 d y^5 + 15625 y^6


You might be interested in
Solving Linear equations 25 =x + 19
soldi70 [24.7K]

Steps to solve:

25 = x + 19

~Subtract 19 to both sides

6 = x

Best of Luck!

3 0
2 years ago
Read 2 more answers
Segments 2) Use the following picture
alisha [4.7K]
The answer is AB= 52, because x=15
5 0
3 years ago
What is two plus two
Strike441 [17]

well .... 2 + 2 = 4

5 0
2 years ago
Read 2 more answers
Σ(n = 1)
iris [78.8K]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
Which figure has the same area as the parallelogram?
Savatey [412]

Answer:

square

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is 25 divided by 28
    12·2 answers
  • Can i get step by step how to solve this problem.
    9·1 answer
  • Simplify this expression 6x+13x=
    7·1 answer
  • PLEASE HELP!! URGENT!!!
    15·1 answer
  • Please help me with 12 and the question below it, plz thank youuu!!!
    11·2 answers
  • Four sevenths plus what equals six sevenths <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B7%7D%20%20%3D%20m%20%2B%20
    8·1 answer
  • Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin
    8·1 answer
  • A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years, to the nearest whole nu
    10·1 answer
  • HELP ME PLEASE: I WILL GIVE BRAINLIEST AND IT IS 20 POINTS
    10·1 answer
  • For a positive angle, the rotation from the initial side to the terminal side takes place in a ___________ direction. For a nega
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!