Question

Write an explanation for a student about how to expand (a+b)^3. Include at least two methods of expanding the power of the binomial.

Answer 1

Step-by-step explanation:

(a+b)³= (a+b)²(a+b)

(a+b)³=(a²+2ab+b²)(a+b)

(a+b)³=a(a²+2ab+b²)+b(a²+2ab+b²) [ by distributive method]

(a+b)³=a³+2a²b+ab²+a²b+2ab²+b³

(a+b)³=a³+2a²b+a²b+ab²+2ab²+b³

(a+b)³=a³+3a²b+3ab²+b³

(a+b)³=a³+b³+3a²b+3ab²

(a+b)³=a³+b³+3ab(a+b) [taking 3ab common]

thats the answer

hope it helps