hi does anyone know what
(h+t)^6 is?
Thanks
To expand the expression (h+t)^6, you can use the binomial theorem. The binomial theorem states that an expression of the form (a + b)^n can be expanded as the sum of the terms in the form of nCr * a^(n-r) * b^r, where nCr represents the combination of choosing r items among n.
In this case, for (h+t)^6, n = 6 and a = h, b = t. Thus, we can use the binomial theorem to expand the expression as follows:
(h+t)^6 = 6C0 * h^(6-0) * t^0 + 6C1 * h^(6-1) * t^1 + 6C2 * h^(6-2) * t^2 + 6C3 * h^(6-3) * t^3 + 6C4 * h^(6-4) * t^4 + 6C5 * h^(6-5) * t^5 + 6C6 * h^(6-6) * t^6
Simplifying each term using the combination formula (nCr = n! / (r! * (n-r)!)), we get:
(h+t)^6 = h^6 + 6h^5t + 15h^4t^2 + 20h^3t^3 + 15h^2t^4 + 6ht^5 + t^6
Therefore, (h+t)^6 is equal to h^6 + 6h^5t + 15h^4t^2 + 20h^3t^3 + 15h^2t^4 + 6ht^5 + t^6.