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anonymous

  • 5 years ago

How do I expand and simplify (x+5)^10 (Using pascal's triangles)?

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  1. King
    • 5 years ago
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    |dw:1326885599969:dw| and so on

  2. anonymous
    • 5 years ago
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    but how do I simplify it? like for ex. (5x +2y)^3 = 125x^3 + 150x^2y + 60xy^2 + 8y^3

  3. King
    • 5 years ago
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    ya and so u will get 1 7 21 35 35 21 7 1

  4. anonymous
    • 5 years ago
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    but isn't this for 10?

  5. anonymous
    • 5 years ago
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    and 10, is: 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1.

  6. King
    • 5 years ago
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    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

  7. King
    • 5 years ago
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    notice that as u go further the power of x is decreasing and that of y in this case 5 is increasing...........

  8. anonymous
    • 5 years ago
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    yes, it is.

  9. anonymous
    • 5 years ago
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    what equation is this??

  10. King
    • 5 years ago
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    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

  11. King
    • 5 years ago
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    oh!i misread the question i thought its power 7 not 10....

  12. anonymous
    • 5 years ago
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    ohhh, i see. thank you!!

  13. King
    • 5 years ago
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    can u do for power 10 on ure own?

  14. anonymous
    • 5 years ago
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    it still works I just need to tweak some things, but thank you!

  15. King
    • 5 years ago
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    ure welcome!

  16. anonymous
    • 5 years ago
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    oh, so I multiply?

  17. King
    • 5 years ago
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    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!

  18. anonymous
    • 5 years ago
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    ohhh, i see. Thank you again!

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