Math help (algebraic expressions) simplifying and factoring.
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Math help (algebraic expressions) simplifying and factoring.

Math help (algebraic expressions) simplifying and factoring.

[From: ] [author: ] [Date: 11-10-14] [Hit: ]
And I need to factor this.I was not able to get this answer and so if someone can show me their steps with a brief explanation, I would really appreciate it.Now it is difference of the squares but before I use differences of the square dentity, I will work with the terms inside the brackets first.to me I think this is much shorter process.......
Hello. I have these 2 questions and I was wondering on how to solve them.

I am able to get the answer for the first one, but is there perhaps a shorter method to achieve the answer?

Simplify the following:

(x+2)²(x-1)² - (x-4)²(x+4)²

Answer: 2x³ + 29x² - 4x - 252

I was able to solve but it was a lot of steps and there was too much room for error. Is there perhaps a trick to solving these types of questions?

And I need to factor this.

(m-n)² - (2m+3n)²

Answer: -(m+4n)(3m+2n)

I was not able to get this answer and so if someone can show me their steps with a brief explanation, I would really appreciate it.

-
(x+2)²(x-1)² - (x-4)²(x+4)²
I can write it as

[(x + 2)(x - 1)]² - [(x - 4)(x + 4)]²
Now it is difference of the squares but before I use differences of the square dentity, I will work with the terms inside the brackets first.

(x² + x - 2)² - (x² - 16)²
[x² + x - 2 - (x² - 16)][x² + x - 2 + x² - 16]
(x + 14)(2x² + x - 18)
Expand this

x(2x² + x - 18) + 14(2x² + x - 18)
2x³ + x² - 18x + 28x² + 14x - 252

2x³ + 29x² - 4x - 252

to me I think this is much shorter process.

-----------
The second one is also differences of the squares

[(m - n) - (2m + 3n)][(m - n) + (2m + 3n)]
(m - n - 2m - 3n)(m - n + 2m + 3n)
(-m - 4n)(3m + 2n)
Now factor -1 from (-m - 4n)

-(m + 4n)(3m + 2n)

-
you must achieve it step by step
1
keywords: algebraic,and,expressions,help,factoring,simplifying,Math,Math help (algebraic expressions) simplifying and factoring.
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .