What are the 5 special products?

What are the 5 special products?

Special Products involving Cubes

• (x + y)3 = x3 + 3x2y + 3xy2 + y3 (Cube of a sum)
• (x − y)3 = x3 − 3x2y + 3xy2 − y3 (Cube of a difference)
• (x + y)(x2 − xy + y2) = x3 + y3 (Sum of 2 cubes)
• (x − y)(x2 + xy + y2) = x3 − y3 (Difference of 2 cubes)

What is special product in algebra?

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 the examples of special products?

More examples of special products

• Special products of the form (x+a)(x-a) Squaring binomials of the form (x+a)² Practice: Multiply difference of squares. Special products of the form (ax+b)(ax-b) Squaring binomials of the form (ax+b)² Special products of binomials: two variables.
• Multiplying binomials by polynomials.

What are the 3 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.

How do you multiply special products?

While the distributive property can be used for all polynomial multiplication, some products with binomials can be found using short cuts. These methods are sometimes called special products. The area of this square is (x + 3)(x + 3) or (x + 3)2….Square of a Binomial Sum.