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What are the special product rules?

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What are the special product rules?

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 can you find the special product of certain polynomials?

How To: Given a binomial multiplied by a binomial with the same terms but the opposite sign, find the difference of squares.

  1. Square the first term of the binomials.
  2. Square the last term of the binomials.
  3. Subtract the square of the last term from the square of the first term.

What are special product formulas?

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 is special product and factors?

Look for special products. If there are only two terms then look for sum of cubes or difference of squares or cubes. If there are three terms, look for squares of a difference or a sum. If there are four terms then try factoring by grouping.

What should I know about special products and factors?

Look for special products. If there are only two terms then look for sum of cubes or difference of squares or cubes. If there are three terms, look for squares of a difference or a sum. If there are three terms and the first coefficient is 1 then use simple trinomial factoring.

What means special product?

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)

Which is the formula for the special product?

Multiplying the Binomial a + b By Itself. The first special product we will look at is multiplying a binomial by itself. That is: (a + b)^2 = (a + b)(a + b) When we perform the FOIL method to this case, we get: (a + b)(a + b) = a^2 + ab + ab + b^2 = a^2 + 2ab + b^2. This is illustrated in the following image.

How to look for special products in Excel?

36x 2 – 4y 2 = (6x – 2y) (6x + 2y) Notice that there only two terms. 3x 3 – 12x 2 + 12x = 3x (x 2 – 4x + 4) Remember to pull the GCF out first. Look for special products. If there are only two terms then look for sum of cubes or difference of squares or cubes. If there are three terms, look for squares of a difference or a sum.

Which is a special product of a binomial product?

Perfect Square Trinomials. Certain binomial products have special forms. When a binomial is squared, the result is called a perfect square trinomial. We can find the square by multiplying the binomial by itself.

How to find special products in the GCF?

1 Always pull out the GCF first 2 Look for special products. 3 If there are three terms and the first coefficient is 1 then use simple trinomial factoring. 4 If there are three terms and the first coefficient is not 1 then use the AC method. 5 If there are four terms then try factoring by grouping.