anonymous
  • anonymous
How do I expand and simplify (x+5)^10 (Using pascal's triangles)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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King
  • King
|dw:1326885599969:dw| and so on
anonymous
  • anonymous
but how do I simplify it? like for ex. (5x +2y)^3 = 125x^3 + 150x^2y + 60xy^2 + 8y^3
King
  • King
ya and so u will get 1 7 21 35 35 21 7 1

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anonymous
  • anonymous
but isn't this for 10?
anonymous
  • anonymous
and 10, is: 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1.
King
  • King
now for first number it will be x^7[these numbers are coefficients] and as u go on reduce the power of x and increase power of y so in this case the answer will be x^7+7x^6*5+21x^5*25+35x^4*125+35x^3*625+21x^2*3125+7x*15625+78125
King
  • King
notice that as u go further the power of x is decreasing and that of y in this case 5 is increasing...........
anonymous
  • anonymous
yes, it is.
anonymous
  • anonymous
what equation is this??
King
  • King
x^7+35x^6+525x^5+4375x^4+21875x^3+65625x^2+109375x+78125.. This is the simplified version of the above ... it is (x+5)^7
King
  • King
oh!i misread the question i thought its power 7 not 10....
anonymous
  • anonymous
ohhh, i see. thank you!!
King
  • King
can u do for power 10 on ure own?
anonymous
  • anonymous
it still works I just need to tweak some things, but thank you!
King
  • King
ure welcome!
anonymous
  • anonymous
oh, so I multiply?
King
  • King
see in 10 its 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1. rite so for coefficient 1 it will be x^10 and for 10 it will be x^9*y^1.......yup u multiply x,y!
anonymous
  • anonymous
ohhh, i see. Thank you again!

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