%5E3-expand.jpeg "(x+3)^3 Expand")
Expanding (x+3)^3
In algebra, expanding an expression means to multiply it out and simplify it. In this article, we will explore how to expand the expression (x+3)^3.
The Formula
To expand (x+3)^3, we can use the formula for the cube of a binomial, which is:
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
In our case, a = x and b = 3, so we can plug these values into the formula.
Expanding the Expression
Substituting a = x and b = 3 into the formula, we get:
(x+3)^3 = x^3 + 3x^2(3) + 3x(3)^2 + 3^3
Simplifying the Expression
Now, let's simplify the expression by evaluating the exponents and multiplying out the terms:
= x^3 + 9x^2 + 27x + 27
The Final Answer
The expanded form of (x+3)^3 is:
(x+3)^3 = x^3 + 9x^2 + 27x + 27
This expression is now in its simplest form, and we can use it to evaluate the expression for any value of x.
