Simplify the expression $\frac{32a^7b^5+48a^6b^4-a^4b^3}{8ab^3}$

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Final answer to the problem

$\frac{a^{3}\left(32a^{3}b^2+48a^2b-1\right)}{8}$
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Step-by-step Solution

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Factor the polynomial $32a^7b^5+48a^6b^4-a^4b^3$ by it's greatest common factor (GCF): $a^{4}b^{3}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{a^{4}b^{3}\left(32a^{3}b^2+48a^2b-1\right)}{8ab^3}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (32a^7b^5+48a^6b^4-a^4b^3)/(8ab^3). Factor the polynomial 32a^7b^5+48a^6b^4-a^4b^3 by it's greatest common factor (GCF): a^{4}b^{3}. Simplify the fraction \frac{a^{4}b^{3}\left(32a^{3}b^2+48a^2b-1\right)}{8ab^3} by b^{3}. Simplify the fraction \frac{a^{4}\left(32a^{3}b^2+48a^2b-1\right)}{8a} by a.

Final answer to the problem

$\frac{a^{3}\left(32a^{3}b^2+48a^2b-1\right)}{8}$

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Function Plot

Plotting: $\frac{a^{3}\left(32a^{3}b^2+48a^2b-1\right)}{8}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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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