Simplification of algebraic fractions Calculator

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 Example

 Solved Problems

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Here, we show you a step-by-step solved example of simplification of algebraic fractions. This solution was automatically generated by our smart calculator:

$\frac{1-a^2b^4c^8}{1-ab^2c^4}$

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(\sqrt{1}+a\sqrt{b^4c^8}\right)\left(\sqrt{1}-\sqrt{1a^2b^4c^8}\right)}{1-ab^2c^4}$

Calculate the power $\sqrt{1}$

$\frac{\left(1+a\sqrt{b^4c^8}\right)\left(\sqrt{1}-\sqrt{1a^2b^4c^8}\right)}{1-ab^2c^4}$

Any expression multiplied by $1$ is equal to itself

$\frac{\left(1+a\sqrt{b^4c^8}\right)\left(\sqrt{1}-\sqrt{a^2b^4c^8}\right)}{1-ab^2c^4}$

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(1+ab^{2}c^{4}\right)\left(\sqrt{1}-\sqrt{a^2b^4c^8}\right)}{1-ab^2c^4}$

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(1+ab^{2}c^{4}\right)\left(\sqrt{1}-a\sqrt{b^4c^8}\right)}{1-ab^2c^4}$

Calculate the power $\sqrt{1}$

$\frac{\left(1+ab^{2}c^{4}\right)\left(1-a\sqrt{b^4c^8}\right)}{1-ab^2c^4}$

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(1+ab^{2}c^{4}\right)\left(1-ab^{2}c^{4}\right)}{1-ab^2c^4}$

Factor the difference of squares $1-a^2b^4c^8$ as the product of two conjugated binomials

$\frac{\left(1+ab^{2}c^{4}\right)\left(1-ab^{2}c^{4}\right)}{1-ab^2c^4}$

Simplify the fraction $\frac{\left(1+ab^{2}c^{4}\right)\left(1-ab^{2}c^{4}\right)}{1-ab^2c^4}$ by $1-ab^{2}c^{4}$

$1+ab^{2}c^{4}$

 Final answer to the problem

$1+ab^{2}c^{4}$

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