Foil (u+3) ^3............?

Im having a brainfart...what is the foil of (u+3) ^3

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  • 9 years ago
    Best Answer

    firstly

    you should expand that (u+3)^3 into

    (u+3)(u+3)(u+3)

    *remember that foil means first, outer, inner, last

    and after that multiply two terms out using foil method

    (u+3)(u+3)

    u^2 +3u +3u + 9

    combine like terms

    u^2 +6u + 9

    and finally multiply this by the remaining (u+3) using foil method

    (u^2 + 6u + 9)(u+3)

    u^3 +3u^2 +6u^2 + 18u + 9u + 27

    combine like terms

    your final answer should be

    u^3 + 9u^2 + 27u + 27

    Source(s): an honours math student
  • 9 years ago

    I will show you two methods, first with foil, then with the binomial theorem.

    FOIL

    (u + 3)^3 = (u + 3)*(u + 3)*(u + 3)

    = (u^2 + 3u + 3u + 9)*(u + 3)

    = (u^2 + 6u + 9)*(u + 3)

    = (u^3 + 3u^2 + 6u^2 + 18u + 9u + 27)

    = u^3 + 9u^2 + 27u + 27

    Binomial Theorem

    First, the third row in pascal's triangle is 1, 3, 3, 1. These are used for the binomial theorem.

    (u + 3)^3 = 1*(u)^3*(3)^0 + 3*(u)^2*(3)^1 + 3*(u)^1*(3)^2 + 1*(u)^0*(3)^3

    = u^3 + 9u^2 + 27u + 27

    Personally, I prefer the binomial theorem, but it's all up to you.

    Hope that helped =D

  • 9 years ago

    Just do it one step at a time. (u+3)x(u+3) =u^2+3u+3u+9 which simplifies to u^2+6u+9

    (u^2+6u+9)(u+3) is u^3+6u^2+9u+3u^2+18u+27

    simplify this combining your numbers according to like terms (with same power) and you get your final answer-

    u^3+9u^2+27u+27

  • 9 years ago

    (u + 3) (u + 3) (u + 3)

    (u^2 + 6u +9) (u + 3)

    u^3 + 3u^2 + 6u^2 + 18u + 9u +27

    u^3 + 9u^2 + 27u +27

    yay. math.

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  • joppy
    Lv 4
    3 years ago

    (3+sqrt(-3+x))^2 = (3+sqrt(-3+x)) (3+sqrt(-3+x)) = 3 (3+sqrt(-3+x))+sqrt(-3+x) (3+sqrt(-3+x)) = 3 (3+sqrt(-3+x))+sqrt(-3+x) 3+sqrt(-3+x) sqrt(-3+x) = 3 (3+sqrt(-3+x))+3 sqrt(-3+x)+sqrt(-3+x) sqrt(-3+x) = 3 3+3 sqrt(-3+x)+3 sqrt(-3+x)+sqrt(-3+x) sqrt(-3+x) = 3 3+2 3 sqrt(-3+x)+sqrt(-3+x) sqrt(-3+x) = 3^(a million+a million)+2 3 sqrt(-3+x)+(-3+x)^(a million/2+a million/2) = 9+2 3 sqrt(-3+x)-3+x = 9+6 sqrt(-3+x)-3+x = x+6 sqrt(x-3)+6

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