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

What kinds classroom activities help children to learn maths, What kinds of...

What kinds of classroom activities can you think of for helping children to make groups of 5 and 10? Once they have enough practice with such activities, children can be helped

Word problem, adison earned $25 mowing her neighbor''s lawn. then she loane...

adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to

Transportation problem, matlab code for transportation problem solved by vo...

matlab code for transportation problem solved by vogel''s approximation method

Geometry, finding missing values from given triangle diagra m..

finding missing values from given triangle diagra m..

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