Math 30 pure

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simplify: (x+y)^10

simplify: (2a+5)^5

  • Math 30 pure -

    I would say expand, not simplify

    binomial coefs, use Pascal's triangle (google it if necessary)
    for n = 10
    1 10 45 120 210 252 then down again
    so

    x^10 + 10 x^9 y + 45 x^8 y^2 etc


    for n = 5
    1 5 10 10 5 1
    so
    (2a)^5 + 5(2a)^4 (5) + 10(2a)^3(5)^2 ...etc
    or
    32 a^5 + 400 a^4 + 2000 a^3 etc

  • Math 30 pure -

    why thank you!

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