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Exercise

$\frac{10x^2-0.5}{100x^4-0.25}$

Step-by-step Solution

1

Factor the difference of squares $100x^4-0.25$ as the product of two conjugated binomials

$\frac{10x^2-0.5}{\left(10x^{2}+\sqrt{0.25}\right)\left(10x^{2}-\sqrt{0.25}\right)}$

Final answer to the exercise

$\frac{10x^2-0.5}{\left(10x^{2}+\sqrt{0.25}\right)\left(10x^{2}-\sqrt{0.25}\right)}$

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