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Simplify the expression $\frac{5x^3+5x}{\left(x^2-x+7\right)^2}$

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 Solution

 Videos

Tutorial - Multiplying rational expressions ex 24, ((x^2-5x+6)/(x^2-4)) × ((x^2+3x+2)/(x^2-2x-3))

https://www.youtube.com/watch?v=IUrAMNFqq4A

Algebra 2 - Dividing two rational expressions (x^2/x^2 - y^2) / (4x/y-x)

https://www.youtube.com/watch?v=5MNXHwO_COA

Algebra 2 - Dividing two rational expressions, ((y^2 - 49)/(y-7)^2) / ((5y + 35)/(y^2 - 7y))

https://www.youtube.com/watch?v=i0UElwFSe4g

Tutorial - Simplify a trigonometric expression by factoring ex 26, 2(cosx)^2 + cosx - 3

https://www.youtube.com/watch?v=X35--yiv4Ms

Tutorial - Multiplying rational expressions ex 26, (x^2+3x-4)/((x^2+4x+4) × (2x^2+4x)/(x^2-4x+3)

https://www.youtube.com/watch?v=9hVK2MT8LYM

Tutorial - Dividing rational expressions ex 26, ((x^2+12x+32)/(6x+42)) - ((x^2+4x)/(x^2-49))

https://www.youtube.com/watch?v=O8Wc_g0IsTw

 Function Plot

Plotting: $\frac{5x\left(x^2+1\right)}{\left(x^2-x+7\right)^2}$

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7

8

9

0



a

b

c

d

f

g

m

n

u

v

w

x

y

z

.

(◻)

+

-

×

◻/◻

/

÷

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

e

π

ln

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

θ

=

>

<

>=

<=

sin

cos

tan

cot

sec

csc

asin

acos

atan

acot

asec

acsc

sinh

cosh

tanh

coth

sech

csch

asinh

acosh

atanh

acoth

asech

acsch

 How to improve your answer:

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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