IS 125 a perfect cube?

As the cube root of 125 is a whole number, 125 is a perfect cube.

Can you factor a sum of cubes?

The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. A mnemonic for the signs of the factorization is the word “SOAP”, the letters stand for “Same sign” as in the middle of the original expression, “Opposite sign”, and “Always Positive”. …

What is the difference of cubes formula?

The distinction between the two formulas is in the location of that one “minus” sign: For the difference of cubes, the “minus” sign goes in the linear factor, a – b; for the sum of cubes, the “minus” sign goes in the quadratic factor, a2 – ab + b2.

Why is 8 a perfect cube?

A perfect cube is a number which is equal to the number, multiplied by itself, three times. For example, 8 is a perfect cube because 3√8 = 2.

What is the meaning of sum of two cubes?

A sum of cubes is a two-term expression where both terms are cubes and each term has the same sign. It is factored according to the following formula: a3 + b3 = (a + b) (a2 – ab + b2)

What is the formula for cubing A binomial?

Here’s the formula for the cube of a binomial: (a + b) 3 = a 3 + 3a 2b + 3ab 2 + b 3. To use the formula, identify which numbers (or variables) occupy the slots for “a” and “b” on the left side of the equation, then substitute those same numbers (or variables) into the “a” and “b” slots on the right side of the formula.

What are examples of cube of binomial?

Cube of a binomial. To the cube of the first term add, three times the product of the square of the first term and the last term, three times the product of the first term and the square of the last term, and the cube of the last term. Examples: a) (a – b)3 = (a – b)2 · (a – b) = (a2 – 2ab + b2) · (a – b) =

What is cube of binomial mean?

The cube of a binomial is simply a binomial multiplied to itself three times . By expounding, a cube is a geometrical figure with three dimensions which is used to refer thrice of a variable in algebraic expressions while a binomial consists of two terms expressing either the sum or difference.

What is the formula of square of binomial?

The square of every binomial has that form: a2 + 2 ab + b2. To recognize that is to know an essential product in the “multiplication table” of algebra. (See Lesson 8 of Arithmetic: How to square a number mentally, particularly the square of 24, which is the “binomial” 20 + 4.)