$(a+b)^3=a^3+3a^2 b+3ab^2+b^3$

This formula describes a way to express the sum of two elements, when they are within parentheses and are raised as an expression to the power of three.

** Pay attention:** the formula is also suitable for use with algebraic elements, numbers, or a combination of them.

$(a-b)^3=a^3-3a^2 b+3ab^2-b^3$

This formula describes a way to express the sum of two elements, when they are within parentheses and raised as an expression to the power of three.

Pay attention: the formula is also suitable for use with algebraic elements, numbers, or a combination of both.

**When we are given the following expression:**

$(X+6)^3=$

We can identify two elements with the plus sign, which are in parentheses and raised to the power of three as a single expression.

Therefore, we can use the corresponding formula.

We will work according to the formula and pay attention to the minus and plus signs.

$(X+6)^3=x^3+3\times x^2\times 6+3\times x\times 6^2+6^3$

$(X+6)^3=x^3+18x^2+108x+216$

In reality, we pronounce the same expression differently using the formula.

**When we are given the following expression:**

$(X-2)^3=$

We can identify two elements with the minus sign, which are within parentheses and raised to the power of three as a single expression.

Therefore, we can use the corresponding formula.

We will work according to the formula, and pay attention to the minus and plus signs.

$(X-2)^3=x^3-3\times x^2\times 2+3\times x\times 2^2-2^3$

$(X-2)^3=x^3-6x^2+12x-8$

Indeed, we pronounce the same expression differently using the formula.

**If you are interested in this article, you might also be interested in the following articles:**

Multiplication of the sum of two elements by the difference between them

The formula for the difference of squares

The formula for the sum of squares

**In the blog of** **Tutorela** **you will find a variety of articles about mathematics.**