erikamelara17
erikamelara17 erikamelara17
  • 20-05-2021
  • Mathematics
contestada

Find the coefficient of x^3y^7? in the expansion of (5x - 2y)^10​

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 20-05-2021

Answer:

[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i[/tex]

[tex](5x - 2y)^{10} =\sum _{i=0}^{10}\binom{10}{i}\left(5x\right)^{\left(10-i\right)}\left(-2y\right)[/tex]

 Coeffecient of x^3y^7=

                                     [tex]\frac{10!}{7!(110-7))!} (5x)^3 (-2y)^7[/tex][tex]=-1920000x^3y^7[/tex]

Ans : -1920000

                                     

             

Answer Link

Otras preguntas

i need help now.......​
The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
Which phrase represents the algebraic expression 1/4 d 7? the product of one-fourth and a number, plus seven the product of seven and a number the product of on
How can identifying the rhyme scheme help you understand a poem
How do you solve this?
HELP PLEASE!! I NEED HELP ASAP!
Select all the possible consequences of an ENSO event. A. global warming B. drought in Asia C. storms in Australia D. heavy rain in the Americas E. revers
The particles that make up a substance gain __ energy when their speeds increase.
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two column proof of the theorem is sh
what table or graph shows the value of y going up as the value of x goes up?