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
Harlamova29_29 [7]
3 years ago
5

Expand the given power by using Pascal’s triangle. (9a - 10b)^6

Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^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

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

You might be interested in
What is the sale of the original price?
Lady bird [3.3K]

Answer:

50 dollars

Step-by-step explanation:

40*25%=10

40+10= 50 dollars

Add it to find the original sales price which would end up being 50 dollars! Hope this helps, have a good day. c;

3 0
3 years ago
Read 2 more answers
Write the following comparison as a ratio reduced to lowest terms.<br><br> 88 quarters to 30 dollars
LUCKY_DIMON [66]
You need to find common factors. The factors of 88 are 1 and 88, 2 and 44, 4 and 22, and 8 and 11. The factors of thirty are 1 and 30, 2 and 15, and 5 and 6. The greatest common factor is 2 so the ratio is 44:15.
6 0
3 years ago
A point is randomly chosen in the circle shown below.
kari74 [83]

Answer:

in a region with a letter.

Step-by-step explanation:

All the letters are in the circle, so if a point is in the circle, it will be in a region with a letter.

3 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint of the segment with the given endpoints (6,9) and (-6,-1)
Aleksandr [31]
Answer:

(0, 4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint.

4 0
3 years ago
Racers at a 5k race are assigned an identification tag consisting of two digits (0–9) and one letter. how many different identif
poizon [28]
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99

I just made it harder for myself by doing literally every possible way and writing it down but your answer is exactly "100" different ways.
4 0
3 years ago
Other questions:
  • Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th b
    8·2 answers
  • Write absolute value of the following rational number -6/11 , 15/21 , -9 , -21/-37 , 31/-54​
    12·1 answer
  • So yall... what's up?
    10·1 answer
  • What is 20% of 120? Select one O O O 20 240​
    15·1 answer
  • Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more
    15·1 answer
  • 1
    5·1 answer
  • Eli's Bakery recently spent a total of $91 on new equipment, and their average hourly operating costs are $6. Their average hour
    6·1 answer
  • Pls help me with this equation
    13·1 answer
  • 11. Give two examples of each type of number: real, natural, integers, rational and irrational.
    12·1 answer
  • The sum of two numbers is 115. One number is 5 more than the other. Determine the two numbers.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!