What is a square plus b square ?

Question

Answer

What is a square plus b square?

Definition:

When we add the square of two numbers, a and b, we get a^2 + b^2. This is known as the sum of squares of a and b.

Explanation:

The sum of squares of a and b can be written as (a+b) x (a+b) or (a+b)^2. This can be expanded as:

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

Here, we get two terms with a square: a^2 and b^2. Hence, the sum of squares of a and b is a^2 + b^2.

Example:

Let's take an example of finding the sum of squares of two numbers, a = 3 and b = 4.

a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25

Therefore, the sum of squares of 3 and 4 is 25.

Applications:

Sum of squares is used in geometry to calculate the length of the hypotenuse of a right-angled triangle.

Sum of squares is used in statistics to calculate the variance of a set of data.

Answer

A² + b²= (a+b)²- 2ab. a² + b²= (a-b)²+ 2ab. a² - b² = (a+b)(a-b)

it's a formula