Math

posted by .

Use Pascal's triangle to expand (a+b)^6 and hence find the binomial expansion of: (x-3)^6

  • Math -

    I can not do the symmetry with keyboard
    remember rows and columns start wit 0, so we need 7 rows
    1
    1 1
    1 2 1
    1 3 3 1
    1 4 6 4 1
    1 5 10 10 1
    1 6 15 20 15 6 1 ah ha
    so
    a^6 + 6 a^5 b + 15 a^4 b^2 + 20 a^3 b^3 + 15 a^2 b^4 + 6 a b^5 + b^6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    1)Use Pascal's triangle to expand (w-x)^5 2)Use the binomial theorem to find the third term in the expression of (n-2p)^6 3)Which is NOT a counterexample to the formula 1^2+3^2+5^2+...+(2n-1)^2=n(2n+1)/3 A.n=3 B.n=2 C.n=1 D.n=4 is …
  2. Maths

    Expand ln(1+x) and ln(1-x) and hence deduce that ln((y+1)/(y-1))=[2/y]+[2/(3(y^3))]+[2/(5(y^5))]+[2/(7(y^7))]. State the range of values of y for which the expansion is valid. Hence calculate ln(101) correct to 4 significant figures …
  3. binomial expansion

    how do you expand the following as a series of ascending powers of x upto x^2 using binomial expansion for this function (1+x)^2(1-5x)^14
  4. pre-calculus

    Find the designated term of the binomial expansion. 5th term of (4a+2b)^3 This is done without using Pascal's Triangle.
  5. Math grade 12

    write the partial fraction decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or determinants) …
  6. Precalc

    1) expand (1+3x)^4 using the Binomial Theorem. 2) Use Pascal's Triangle to expand(x+2)^5 3)What is the third term of (a+b)^11?
  7. Expand binomial Pascal's triangle

    (p+q)^9
  8. Math

    Is this true or false? To expand the binomial (x2 + 3)6, use the row of Pascal's triangle that has coefficients 1, 5, 10, 10, 5, 1.
  9. algebra

    Find 1. the binomial expansion of (3+2x)^5 simplifying terms. Hence find the binomial expansion of (3+2x)^5 +(3-2x)^5.
  10. binomial

    expand (x+8y)^5 using the binomial theorem up to x^3. hence find the value of (1.08)^5 correct two decimal place.

More Similar Questions