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Can You Help Me Simplify This Polynomial

How to simplify and solve this Polynomial?

(a²b - 4b) + (a + 3a²b + 5ab²) - (4a²b - 3a + 2ab² - b)
a²b - 4b + a + 3a²b + 5ab² - 4a²b + 3a - 2ab² + b
a²b + 3a²b - 4a²b + 5ab² - 2ab² + a + 3a - 4b + b ← grouping like terms
3ab² + 4a - 3b

♣♦

How to simplify polynomials? ?

oh this is an easy one. Like this (2n+5)
........................................... (3n+7)
......................................... +(4n-9)
So youd do 2n-3n+4n=3n
5-7+(-9) = -11

The answer would be (3n-11)

How to simplify polynomials?

i) Simplify (x+1)^2 + (x+3)^2 - 2(x +1)(x+3)

Go ahead and multiply the terms:

(x+1)(x+1) + (x+3)(x+3) - 2(x +1)(x+3)

(x^2 +2x +1) + (x^2 + 6x +9) - 2(x^2 + 4x + 3)

x^2 +2x +1 + x^2 + 6x +9 - 2x^2 - 8x - 6

Group like terms:

(x^2 + x^2 - 2x^2) + (2x + 6x - 8x) + (1 + 9 - 6)

0 + 0 + 4 -----> 4

_____

ii) Simplify (x^2-2x+1)^2 - (x+1)^4

(x^2-2x+1)(x^2-2x+1) - (x+1)(x+1)(x+1)(x+1)

(x^4 - 2x^3 + x^2 - 2x^3 + 4x^2 - 2x + x^2 - 2x + 1) - (x^2 + 2x + 1)(x^2 + 2x + 1)

(x^4 - 4x^3 + 6x^2 - 4x + 1) - (x^4 + 2x^3 + x^2 + 2x^3 + 4x^2 + 2x + x^2 + 2x + 1)

(x^4 - 4x^3 + 6x^2 - 4x + 1) - (x^4 + 4x^3 + 6x^2 + 4x + 1)

x^4 - x^4 - 4x^3 - 4x^3 + 6x^2 - 6x^2 - 4x - 4x + 1 - 1

-8x^3 - 8x

Step by step, how do I simplify this polynomial [math]2x^2+7x+3[/math]?

For the general polynomial a*x^2+b*x+c=0 the roots are:x1=(-b+(b*b-4*a*c)^0.5)/(2*a);x2=(-b-(b*b-4*a*c)^0.5)/(2*a);The factorization of the polynomial will be of the form k*(x-x1)*(x-x2), where 'k' is a constant.

Can someone help me multiply and simplify these polynomials?

Hi,

Using this concept, a^m * a^n = a^(m+n).

1.

(6x*y^3*z)(3x^2 * y * x^2)
= 18x^5 y^4 * z (Multiply number with number, letters with letters)

2.

(2m*p) (-4p^2) (-2m^2^*p)
= 16 m^3 p^4

a^m* a^n = a^(m+n)
a^m/ a^n = a^(m –n)

I hope that helps!!! :-)

How to simplify a polynomial expression in C++?

It's really not that easy.
I'd implement it using a tree structure, and try and build a parse tree for the entire formula.

Can someone help me factor/simplify a Polynomial with two variables?

On the second, if you divide the top by the bottom you get 6c^2 + 5cd - 2d^2 so that one is simplifiable. The other two look like they are not, to me anyway.

................ ........6c^2 +  5cd    - 2d^2
3c - 2d ) 18c^3 + 3c^2d - 16cd^2 + 4d^3
.............18c^3 - 12c^2d
............ -----------------------
............... ........15c^2d - 16cd^2
............... .......15c^2d - 10cd^2
.................. ......-- ---------------------
............ ......... ......... ... -6cd^2 + 4d^3
............ .............. ......... -6cd^2 + 4d^3
........... .......... ........... ..----------------------
........... ............. ......... ........ ........ 0

How do I simplify the following polynomial (linked list) in C?

First of all as per the formulation of your problem, initially your linked list contains n nodes. Upon simplification it reduces to say m where m<=n. For finding m, we basically have to make comparison of n nodes which will take at least n! comparisons. Practically if n size is even 100 that would mean 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 comparisons. So, it appears the problem is not polynomial time solvable. Getting an exact algorithm with linked list will surely reward with some tough times. Polynomial curve fitting is one way that can try to handle the problem. You can take help of Genetic Algorithms and its variants.

Multiplying polynomials!!!!!?

i need some help on multiplying polynomials can you please help me! i dont understand it at all! and can u show ur work and simplify!!!

1) 3x(x+9)

2) 5mn(7m-2n)

3) 3xy(-x to the power of 4-4x to the power of 2 y+5xy to the power of 2)

4) (x/5) (x/3)


thank you soooooo much! if you help me out and its correct ill get u 10 pts!!!

Omg i hate math... plz help with polynomials?

the question says "expand and simplify"
i know how to do it but this one is just 2 complex and i'm not getting the right answer...

2(m-3)(m-4)-3(m+5)^2
plz explain step by-step!

i started like this:
=(2m-6)(m-4)(-3m-15)^2
=(2m^2 + 8m - 6m + 24)(-9m^2 - 225)
=(2m^2 + 2m + 24)(-9m^2 - 225)
... i can't figure out the rest :S i tried different ways.... is this right? what do i do now?

the answer is supposed to be -m^2 - 44m - 51
plz help me :( thanks!

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