You are searching about Example Of Lesson Plan In Math, today we will share with you article about Example Of Lesson Plan In Math was compiled and edited by our team from many sources on the internet. Hope this article on the topic Example Of Lesson Plan In Math is useful to you.

Perfect Square – Square Of A Binomial

When a binomial is squared, the result obtained is a trinomial. Squaring a binomial means multiplying the binomial by itself. Consider that we have the simplest binomial “a + b” and we want to multiply this binomial by itself. To show multiplication, the binomial can be written as in the step below:

(a + b) (a + b) or (a + b)²

The above multiplication can be done using the “FOIL” method or using the perfect square formula.

The FOIL method:

Let’s simplify the multiplication above using the FOIL method as explained below:

(a+b) (a+b)

= a² + ab + ba + b²

= a² + ab + ab + b² [Notice that ab = ba]

= a² + 2ab + b² [As ab + ab = 2ab]

This is the “FOIL” method for solving the square of a binomial.

The formula method:

By the method of the formula, the final result of the multiplication for (a + b) (a + b) is memorized directly and applied to similar problems. Let’s explore the formula method for finding the square of a binomial.

Remember that (a + b)² = a² + 2ab + b²

It can be memorized as;

(first term)² + 2 * (first term) * (second term) + (second term)²

Consider that we have the binomial (3n + 5)²

To get the answer, square the first term “3n” which is “9n²”, then add the “2*3n*5” which is “30n” and finally add the square of the second term “5” which is “25 “. Writing it all down in one step solves the binomial square. Let’s write everything together;

(3n + 5)² = 9n² + 30n + 25

Let (3n)² + 2 * 3n * 5 + 5²

For example if there is a negative sign between the terms of the binomial then the second term becomes the negative as;

(a – b)² = a² – 2ab + b²

The example given will become;

(3n – 5)² = 9n² – 30n + 25

Again, remember the following to find the square of a binomial directly by the formula;

(first term)² + 2 * (first term) (second term) + (second term)²

Examples: (2x + 3a)²

Solution: The first term is “2x” and the second term is “3y”. Let’s follow the formula to square the given binomial;

= (2x)² + 2 * (2x) * (3a) + (3a)²

= 4x² + 12xy + 9y²

If the sign is changed to negative, the procedure is still the same but change the central sign to negative as shown below:

(2x – 3y)²

= (2x)² + 2 * (2x) * (-3y) + (-3y)²

= 4x² – 12xy + 9y²

It involves multiplying a binomial by itself or finding the square of a binomial.

Video about Example Of Lesson Plan In Math

You can see more content about Example Of Lesson Plan In Math on our youtube channel: Click Here

Question about Example Of Lesson Plan In Math

If you have any questions about Example Of Lesson Plan In Math, please let us know, all your questions or suggestions will help us improve in the following articles!

The article Example Of Lesson Plan In Math was compiled by me and my team from many sources. If you find the article Example Of Lesson Plan In Math helpful to you, please support the team Like or Share!

Rate Articles Example Of Lesson Plan In Math

Rate: 4-5 stars
Ratings: 6284
Views: 38308561

Search keywords Example Of Lesson Plan In Math

Example Of Lesson Plan In Math
way Example Of Lesson Plan In Math
tutorial Example Of Lesson Plan In Math
Example Of Lesson Plan In Math free
#Perfect #Square #Square #Binomial

Source: https://ezinearticles.com/?Perfect-Square—Square-Of-A-Binomial&id=5419157