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Step-by-step Solution

Simplify the expression $\frac{8x^5-3x^2-1}{x-1}$

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Answer

$\frac{8x^5-3x^2-1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}$

Step-by-step explanation

Problem to solve:

$\frac{8x^5-3x^2-1}{x-1}$
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Factor the difference of squares $x-1$ as the product of two conjugated binomials

$\frac{8x^5-3x^2-1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}$

Answer

$\frac{8x^5-3x^2-1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}$

Problem Analysis

$\frac{8x^5-3x^2-1}{x-1}$

Time to solve it:

~ 0.06 seconds