What numbers are squares and cubes?
What numbers are squares and cubes?
A square number is a number multiplied by itself. The square numbers up to 100 are: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. A cube number is a number multiplied by itself 3 times. The cube numbers up to 100 are: 1, 8, 27 and 64.
What are all the perfect cubes?
The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.
What is the sum of cubes?
Sum or Difference of Cubes A polynomial in the form a 3 + b 3 is called a sum of cubes. A polynomial in the form a 3 – b 3 is called a difference of cubes.
What are perfect cube roots?
A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times. If x is a perfect cube of y, then x = y3. Therefore, if we take the cube root of a perfect cube, we get a natural number and not a fraction. For example, 8 is a perfect cube because 3√8 = 2.
What are the squares and cubes upto 30?
Squares and Cubes upto 30 Squares of Numbers Cubes of Numbers Cubes of Numbers Cubes of Numbers 4 2 = 16 19 2 = 361 4 3 = 64 19 3 = 6859 5 2 = 25 20 2 = 400 5 3 = 125 20 3 = 8000 6 2 = 36 21 2 = 441 6 3 = 216 21 3 = 9261 7 2 = 49 22 2 = 484 7 3 = 343 22 3 = 10648
How to factor the difference of two squares?
FACTORING TECHNIQUES: Difference of Squares Difference of squares Factoring the difference of squares EXAMPLE 1 EXAMPLE 2 To factor the difference of two squares it is useful to know the integers that are perfect squares. Here are the first 20: FACTORING TECHNIQUES: Sum of Cubes Sum of cubes
What is the difference of cubes factorization?
The factorization of the difference of cubes is similar to the factorization of the sum of cubes. The only difference between the two are the signs. Here are some observations to keep in mind: The first factor in each will always have the same sign as the original problem.
What are the first 20 factorization techniques?
Here are the first 20: FACTORING TECHNIQUES: Sum of Cubes Sum of cubes Factoring the sum of cubes EXAMPLE 1 EXAMPLE 2 The factorization of x3+ y3has a first factor of x + y, where x and y are the rootsor the numbers that must be cubed to obtain each term.
