FAQ: What Are The Special Products Of Mathematics?

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)

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.

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 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 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 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 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 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.”

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.

How do you think the products are obtained?

a product is a number or a quantity obtained by multiplying two or more numbers together. For example: 4 × 7 = 28 Here, the number 28 is called the product of 4 and 7.

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What are special cases in math?

Special case. In logic, especially as applied in mathematics, concept A is a special case or specialization of concept B precisely if every instance of A is also an instance of B but not vice versa, or equivalently, if B is a generalization of A.

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 is a square of binomial?

The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term. If you can remember this formula, it you will be able to evaluate polynomial squares without having to use the FOIL method.

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