Question

Expand the following using the Binomial Theorem and Pascal's triangle:
(x + 2)^6

Answer 1

Do you know the binomial theorem?
It's (x+y)^z =
C(z,0)*x^z*y^0 + C(z,1)*x^(z-1)*y^1 + C(z,2)*x^(z-2)*y^2 ... + C(z,z-1)*x^1*y^(z-1) + C(z,z)*x^0*y^z

Answer 2

C(n,r) is the number of combinations for choosing r things from n things

Answer 3

Pascal's triangle is the
1
1 1
1 2 1
1 3 3 1
that thing

Answer 4

Alright it's
x^6 + 12x^5 + 60x^4 + 160x^5 + 240x^2 + 192x + 128

Answer 5

Yes i know i am going to show you my steps

Answer 6

= x^6 2^0 + 6(x^5)(2)^1 + 15(x^4)(2^2) + 20(x^3)(2^3) + 15(x^2)(2^4) + 6(x)(2^5) + 1(2^6)
= x^6 + 12x^5 + 60x^4 + 160x^3 + 240x^2 + 192x + 64

Answer 7

Yeah that's right

Answer 8

Ok thanks