Quick Answer: What Is Special Products In Mathematics?

What is special product?

Special products are simply special cases of multiplying certain types of binomials together.

What is the example of special product?

Examples using the special products We just multiply the term outside the bracket (the “2x”) with the terms inside the brackets (the “a” and the “−3”). The answer is a difference of 2 squares. This one is the square of a sum of 2 terms. This example involved the square of a difference of 2 terms.

What makes a product special in math?

Answer: Special products are special because it makes everything that includes solving easier and easier to understand at, or in shorter terms, it’s called ” special ” because they do NOT need long solutions. Special products is a Mathematical term in which factors are combined to form products.

What are special products of polynomials?

Certain types of binomial multiplication sometimes produce results that are called special products. Special products have predictable terms. Although the distributive property can always be used to multiply any binomials, recognition of those that produce special products provides a problem-solving shortcut.

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What are the types of special products?

Special products

  • Square of a Binomial. – this special product results into Perfect Square Trinomial (PST) (a+b)^2= a^2 + 2ab + b^2.
  • Product of sum & difference of two Binomials. -this results to Difference of two squares. (a+b)(a-b) = a^2 – b^2.
  • Square of Trinomial. – this results to six terms.
  • Product of Binomials.

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 6 types of factoring?

The lesson will include the following six types of factoring:

  • Group #1: Greatest Common Factor.
  • Group #2: Grouping.
  • Group #3: Difference in Two Squares.
  • Group #4: Sum or Difference in Two Cubes.
  • Group #5: Trinomials.
  • Group # 6: General Trinomials.

What is the product in maths?

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 special products of binomials?

Some special products of binomials suggest other patterns, such as the product of the sum and difference of two expressions, the product of squaring the sum of an expression, and the product of squaring the difference of an expression.

What is the special product rule?

In other words, when you have a binomial squared, you end up with the first term squared plus (or minus) twice the product of the two terms plus the last term squared. Any time you have a binomial squared you can use this shortcut method to find your product. This is a special products rule.

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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 foil stand for in multiplying Binomials?

“A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product.”

How do special products help us factor polynomials?

Special products make it easier to factor polynomials as certain special patterns are formed when a polynomial has a specific group of factors. For example, if a polynomial has the

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