Question

How do you multiply `(x+h)^3`?

Answer 1

`x^3+3hx^2+3h^2x+h^3`

Explanation:

`"one way is to expand using the result"`

`(x+a)(x+b)(x+c)`

`=x^3+(a+b+c)x^2+(ab+bc+ac)x+abc`

`"here " a=b=c=h`

`rArr(x+h)^3`

`=x^3+(h+h+h)x^2+(h^2+h^2+h^2)x+h.h.h`

`=x^3+3hx^2+3h^2x+h^3`