Differences of squares and other even powers, Mathematics

Assignment Help:

Differences of Squares (and other even powers) ?

A square monomial is a monomial which is the square of another monomial. Here are some examples:
25 is the square of 5
x2 is the square of x
x4y6 is the square of x2y3
25x4y6 is the square of 5x2y3

How do you know if a monomial is a square? It's easy. It's a square if

1. the coefficient is a perfect square (which, by the way, means it can't be negative) and

2. all the exponents on the variables are even.

Remember that the word difference means subtraction. So here's an example of a difference of squares:

25 - 4x2.
(Notice that 25 is a perfect square, and so is 4x2.)
Factoring a difference of squares is easy.

Step 1: Rewrite the two terms as squares of something.
25 - 4x2
= 52 - (2x)2
Step 2: Apply the rule a2 - b2 = (a -b )(a + b).

= (5 -2x)(5 + 2x)


Related Discussions:- Differences of squares and other even powers

Give an examples of simplifying fractions , Give an examples of Simplifying...

Give an examples of Simplifying Fractions ? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form,

Trigonometry, I am really stuck on this topic and other topics its extremel...

I am really stuck on this topic and other topics its extremely difficult and I dont know what to do Im stressing out help me please.

Example of fractional equations, Example of Fractional Equations: Exa...

Example of Fractional Equations: Example: Solve the fractional equation (3x +8)/x +5 =0 Solution: Multiply both sides of the equation by the LCD (x). (x) ((3x

Multiplication of two matrices, Need assignment help, Explain Multiplicatio...

Need assignment help, Explain Multiplication of two Matrices.

Direct and inverse variation, A man can do a piece of work in 25 days how m...

A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?

What is the greatest common factor of 24 and 64, What is the greatest commo...

What is the greatest common factor of 24 and 64? List the factors of 24 and 64. The largest factor that they have in common is the greatest common factor. Factors of 24: 1,

Marketing research, In pharmaceutical product research doctors visit the pl...

In pharmaceutical product research doctors visit the place to learn what

Incircle, ab=8cm,bc=6cm,ca=5cm draw an incircle.

ab=8cm,bc=6cm,ca=5cm draw an incircle.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd