Question

(d) Expand the following:
(1 + x)^4​

Answer 1

Answer:

x^4 + 4x^3 + 6x^2 + 4x + 1

Step-by-step explanation:

The binomial theorem states:

(a+b)^4 = a^4 + 4a^3b + 6a^2b^2 +4ab^3 + b^4

so here, a = x and b = 1

we get,

(x+1)^4 = x^4 + 4x^3(1) + 6x^2(1)^2 + 4x(1)^3 + (1)^4

(x+1)^4 = x^4 + 4x^3 + 6x^2 + 4x + 1

Hope it helps you...