Contents

- 1 What is the difference of 2 cubes?
- 2 Is b3 D 3 a difference of two cubes?
- 3 What is sum and difference of cubes?
- 4 Why can’t you factor the sum of two squares?
- 5 How do you factor the difference of squares?
- 6 What are the cube roots of the first and last terms?
- 7 Is 16 a3 a sum of two cubes?
- 8 What is the formula of a cube Cube?
- 9 How do you find the difference of cubes?
- 10 Which number is a perfect cube?
- 11 What is the sum of the cubes of first N natural number?
- 12 What is the sum of a square?
- 13 What is a perfect square trinomial example?

## What is the difference of 2 cubes?

The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. That is, x3+y3=(x+y)(x 2 −xy+y 2 ) and x3−y3=(x−y)(x 2 +xy+y 2 ).

## Is b3 D 3 a difference of two cubes?

Case 2: The polynomial in the form a 3 − b 3 {a^ 3 } – { b ^ 3 } a 3 − b3 is called the difference of two cubes because two cubic terms are being subtracted.

## What is sum and 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.

## Why can’t you factor the sum of two squares?

It’s true that you can’t factor A²+B² on the reals — meaning, with real-number coefficients — if A and B are just simple variables. So it’s still true that a sum of squares can’t be factored as a sum of squares on the reals.

## How do you factor the difference of squares?

Every difference of squares problem can be factored as follows: a^{2} – b^{2} = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.

## What are the cube roots of the first and last terms?

Answer: The cube roots of the first and last terms are x and y.

## Is 16 a3 a sum of two cubes?

Answer: Answer: Yes. Step-by-step explanation: because 16 + a³ is equal to positive 16.

## What is the formula of a cube Cube?

So for a cube, the formulas for volume and surface area are V=s3 V = s 3 and S=6s2 S = 6 s 2.

## How do you find the difference of cubes?

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, a^{2} – ab + b^{2}.

## Which number is a perfect cube?

The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same.

## What is the sum of the cubes of first N natural number?

We know that sum of cubes of first n natural numbers is = ( n ( n +1)/2)^{2}.

## What is the sum of a square?

The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.

## What is a perfect square trinomial example?

In a perfect square trinomial, two of your terms will be perfect squares. For example, in the trinomial x2 – 12x + 36, both x2 and 36 are perfect squares. The square root of x2 is x, the square root of 36 is 6, and 2 times x (which is the same as 1) times 6 equals 12x/-12x, which does equal the other term.