What are special products in math?

Lesson Summary Special products are simply special cases of multiplying certain types of binomials together. We have three special products: (a + b)(a + b) (a – b)(a – b) (a + b)(a – b)

What are expansions in mathematics?

In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition.

How do you expand a product in math?

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression 3 ( m + 7 ) , multiply both. 3 ( m + 7 ) = 3 × m + 3 × 7 = 3 m + 21 .

How do you expand and simplify Trinomials?

Combine like terms: x^2 + (4x + 3x) + 12 = x^2 + 7x + 12. Multiply the new trinomial by the last binomial from the original problem with the distributive property: (x + 5)(x^2 + 7x + 12). (x) x (x^2) = x^3, (x) x (7x) = 7x^2, (x) x (12) = 12x, (5) x (x^2) = 5x^2, (5) x (7x) = 35x and (5) x (12) = 60.

What are the kinds 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.

How do you get special products?

1. Special Products

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

What makes these products ” special ” in math?

1. Special Products What makes these products “special”? The algebraic products on this page are used all the time later in this chapter, and in a lot of the math you will come across later. They are “special” because they are very common, and they’re worth knowing.

Which is an example of a special product?

For example, products, such as 108 × 108, 97 × 97, 104 × 96, 99 × 99 × 99, can be easily calculated if you know the products (a + b)2, (a – b)2, (a + b) (a – b), (a – b)3respectively. Such products are called special products. Factorization is a process of finding the factors of certain given products such as a2– b2, a3+ 8b3, etc.

How are special products and factorization used in Algebra?

SPECIAL PRODUCTS AND FACTORIZATION In an earlier lesson you have learnt multiplication of algebraic expressions, particularly polynomials. In the study of algebra, we come across certain products which occur very frequently.

Where do the Special Products in Excel come from?

The following special products come from multiplying out the brackets. You’ll need these often, so it’s worth knowing them well. This one uses the first product above. We just multiply the term outside the bracket (the “2 x “) with the terms inside the brackets (the ” a ” and the “−3”). The answer is a difference of 2 squares.