# Question: What Makes The Product Special In Mathematics?

## How do you identify special products in mathematics?

These special product formulas are as follows:

1. (a + b)(a + b) = a^2 + 2ab + b^2.
2. (a – b)(a – b) = a^2 – 2ab + b^2.
3. (a + b)(a – b) = a^2 – b^2.

## How do you know if a polynomial is a special product?

If the first and last terms of a polynomial are perfect squares, the polynomial could be the result of a special product. (To determine if the terms are perfect squares, the polynomial needs to be written with the variable terms in order of decreasing exponents. For example, as x2 + 2x + 1, not 2x + x2 + 1.)

## What math function is product?

Associative & Commutative Properties of Multiplication A product is the result of carrying out the mathematical operation of multiplication. When you multiply numbers together, you get their product.

## What are the three special products?

Recall the three special products:

• Difference of Squares. x2 – y2 = (x – y) (x + y)
• Square of Sum. x2 + 2xy + y2 = (x + y)2
• Square of Difference. x2 – 2xy + y2 = (x – y)2

## What are the examples of special products?

1. Special Products

• a(x + y) = ax + ay (Distributive Law)
• (x + y)(x − y) = x2 − y2 (Difference of 2 squares)
• (x + y)2 = x2 + 2xy + y2 ( Square of a sum)
• (x − y)2 = x2 − 2xy + y2 ( Square of a difference)

## What is the quotient of two polynomials?

A rational expression is a quotient of two polynomials.

## What is the factor of difference of two squares?

Every difference of squares problem can be factored as follows: a2 – b2 = (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 is the reverse process of special product?

Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors.

## What does product mean in math?

The term ” product ” refers to the result of one or more multiplications. For example, the mathematical statement would be read ” times equals,” where. is the product. More generally, it is possible to take the product of many different kinds of mathematical objects, including those that are not numbers.

## What is the product of 5 12?

Answer: First of all work out the product of 5 and 12. Therefore, multiply the 5 by the 12 to give 60 (since product means multiply).

## How do I multiply functions?

To multiply a function by a scalar, multiply each output by that scalar. For example, if f (x) = 4x – 1, then f (x) = (4x – 1) = 2x -. If g(x) = x – 2, then 3g(x) = 3(x – 2) = 3x – 6.

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## What does an open circle mean when multiplying functions?

The open circle symbol ∘ is called the composition operator. Composition is a binary operation that takes two functions and forms a new function, much as addition or multiplication takes two numbers and gives a new number. 