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
katovenus [111]
2 years ago
14

Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11

Mathematics
1 answer:
Mars2501 [29]2 years ago
5 0

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

You might be interested in
-10x+45 find x when x =15
leonid [27]
Your answer is -105 pal
3 0
2 years ago
Read 2 more answers
A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints
Lelu [443]
Call x the distance from home plate to second base.

There is a right triangle formed by homeplate, first base and second base. The sides of this triangle are 80 feet and 80 feet. The hypothenuse meets Pythagoras theorem:

x^2 = 80^2 + 80^2 = 2(80)^2
x = 80√2

Then the answer is the option D.
3 0
3 years ago
Read 2 more answers
Bodmas 6x (3+8) -8x(6-2)​
Leona [35]
If your looking for the answer then it’s 34
4 0
3 years ago
Eva reads 12 pages per hour. In all, how many hours reading will Eva have to do this week in order to have read a total of 48 pa
KiRa [710]

Since eva is a slow reader pacing at 12 pages an hour, she would have to read for 4 hours over the week in order to read 48 pages total.

12x4=48

8 0
3 years ago
5fg for f=6 and g=10<br> (evaluate)
Oksanka [162]

Answer:

300

Step-by-step explanation:

5fg

5(6)(10)=300

7 0
3 years ago
Other questions:
  • Can someone show me the steps to this and answer
    6·1 answer
  • Evaluate 5x-x/y when x=4y and y=2
    7·1 answer
  • Joey has 8 pairs of socks in his drawer. Five of them are white. What percent of colored socks does Joey have?
    11·1 answer
  • Rewrite the expression with the given base. <br><br> 16^x with a base of 2.
    6·1 answer
  • Find 3 different ratios that are equivalent 7:3 explain why these ratios are equivalent
    11·1 answer
  • A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
    7·1 answer
  • A different aquarium should contain 15,000 liters of water when filled correctly. It will overflow if it gets to 17,600 liters.
    15·1 answer
  • I will give you brainlist. But only if your answer is valid
    15·2 answers
  • Select the correct answer.<br> For which pair of matrices is ?
    6·2 answers
  • Plz helppppppppppppppppppppppppppppppppppppppppp
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!