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

Iti, Gm signal is better than am signal becuase

Gm signal is better than am signal becuase

Calculate plurality based on the number of voters and candid, Consider an e...

Consider an election with 721 voters. A) If there are 5 candidates, at least x votes are needed to have a plurality of the votes. Find x. B) Suppose that at least 73 votes are n

How much did kara pay in interest, Kara borrowed $3,650 for one year at an ...

Kara borrowed $3,650 for one year at an annual interest rate of 16%. How much did Kara pay in interest? To ?nd out 16% of $3,650, multiply $3,650 through the decimal equivalent

Algebra, Evaluate: 30 - 12÷3×2 =

Evaluate: 30 - 12÷3×2 =

Algebra, Solve 2x^2 + 5x + 36

Solve 2x^2 + 5x + 36

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

Trigonometry 2, three towns are situated in such away that town B is 120 ki...

three towns are situated in such away that town B is 120 kilometers on a bearing of 030 degrees from town A. Town C is 210 kilometers on a bearing of 110 degrees from town A (a)ca

Find ad, A circle is inscribed in a triangle ABC having sides 8cm, 10cm and...

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

#algebra 2 .., encoded with the matrix -3 -7 and 4 9. what lights up a socc...

encoded with the matrix -3 -7 and 4 9. what lights up a soccer stadium? ecoded message: {-3 - 7} {3 2 } {3 6} {57 127} {52 127} {77 173} {23 51)

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