Before learning the (x+1)^3 expand formula, let us recall what is a binomial. A binomial is an algebraic expression with exactly two terms. We can expand (x+1)^3 by multiplying (x+1)(x+1)(x+1) manually. Let us learn the (x+1)^3 expand formula.
What Is the (x+1)^3 Formula?
The (x+1)3 formula is a special algebraic identity formula used to solve cube of a special type of binomial. The (x+1)3 formula can be easily expanded by multiplying (x+1) thrice. To simplify the (x+1)3 formula further, after multiplying we just combine the like terms and the like variables together. Finally, we will arrange our algebraic expressions according to the increasing order of the exponential power.
(x+1)3 = x3 + 3x2 + 3x + 1
The expansion of formula (x+1)^3 is (x+1)3 = (x+1)(x+1)(x+1)
In our next heading we will see the further simplification of the (x+1)3 formula.
Proof of (x+1)^3 Formula
The (x+1)3 formula can be verified or proved by multiplying (x + 1) three times, i.e,