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Simplify the expression $\frac{42x^6y^7-21x^3y^7+35x^6y^2}{7xy^2}$

Step-by-step Solution

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Solution

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Final answer to the problem

$x^{2}\left(6x^{3}y^{5}-3y^{5}+5x^{3}\right)$
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Step-by-step Solution

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (42x^6y^7-21x^3y^735x^6y^2)/(7xy^2). Factor the polynomial 42x^6y^7-21x^3y^7+35x^6y^2 by it's greatest common factor (GCF): 7x^{3}y^2. Simplify the fraction . Simplify the fraction \frac{x^{3}\left(6x^{3}y^{5}-3y^{5}+5x^{3}\right)}{x} by x.

Final answer to the problem

$x^{2}\left(6x^{3}y^{5}-3y^{5}+5x^{3}\right)$

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Plotting: $x^{2}\left(6x^{3}y^{5}-3y^{5}+5x^{3}\right)$

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(◻)
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◻/◻
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÷
◻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

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$6x^3y^2\div2y$

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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