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What is the mathematical expression of the sum of the square of two numbers?

What is the mathematical expression of the sum of the square of two numbers?

The square of a number ‘a’ is represented as a2 and is read as ‘a’ squared. Sum of the squares is obtained by adding the squares of the numbers….Sum of Squares of Numbers:

Sum of Squares of two numbers g2 + h2 = (g + h)2 – 2 gh
Sum of Squares of three numbers f2 + g2 + h2 = (f + g + h)2 – 2 (fg + gh + fh)

What is the mathematical expression of the square of a number?

In mathematics, a square is the result of multiplying a number by itself. The verb “to square” is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9.

What is the mathematical expression of the difference of the squares of two numbers?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

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Is the square of a sum of numbers is the sum of their squares?

Originally Answered: What is the sum of the squares of two numbers? The sum of the squares of two numbers is different from the square of the sum of two numbers. The square of the sum of two numbers is the sum of the squares of them and twice the product of them.

How are you going to factor the difference of two squares state the steps?

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

What is the square of the sum formula used for?

Thus, the square of the sum formula is simply the useful shortcut formula. It may help you in different ways when you need to simplify the polynomial expressions or to factor polynomials. Simplify the expression .

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Which expression represents the sum of X and Y?

If the two numbers are x and y their sum is of course and the square of that is written . If the two numbers are x and y, the correct expression is (x + y) – this quantity to the second power or this quantity squared. (x+y)^2. (the ‘^2’ is meant to signify ‘squared’. I’m not sure if I got my signs correct)

What is an expression in math?

An expression is a term in mathematics that describes a group of variables, numbers and operators. Operators include division, multiplication, addition and subtraction. Variables in expression are usually denoted as x and y, but it can be and other symbol. The expressions can be written as verbal phrase or algebraic expression.

How to write algebraic expressions in English?

The expressions can be written as verbal phrase or algebraic expression. Here are some examples of algebraic expressions: 1. 2. 3. 4. This algebraic expressions can be also written in verbal phrase: 1. A number x increased by 3. 2. A fourth of a number y. 3. 21 decreased by a number x.