Use Pascal's triangle to expand (w-x)^5?

Question

Use the binomial theorem to find the third term in the expression of (n-2p)^6

I already read the book, it didnt help.

Answer 1

Pascal triangle gives you the coeffs for each term in the polynomial.

.............1
..........1.2..1
........1.3..3...1
......1..4..6.. 4.1
....1 5 10 10 5 1
...1.6.15.20.15.6.1

so to power 5 your coeffs are 1,5,10,10,5,1

w^5 + 5w^4x + 10w^3x^2 + 10w^2x^3 + 5wx^4 + x^5

the order of w decrease while x increase.

the coeff for the third term of (n-2p)^6 is 15
so it is 15n^4(2p)^2 = 60n^4p^2

Answer 2

Pascal's triangle provide you the coefficients for the binomial growth of your unique problem. Pascal's triangle (poorly formatted) is a million a million a million a million 2 a million a million 3 3 a million a million 4 6 4 a million a million 5 10 10 5 a million the only answer that's close is (b) yet there's a typo, the term "5w^w" would desire to be "5w^2"

Answer 3

1 121 1331 14641 15(10)(10)51

Answer 4

Norman is exactly right. Both in coefficients and in powers.