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Step-by-step Solution

Solve (6.24710^4*x^3-276.8x^2+120x-1.015E-4)/(x^2-2x+1)

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Answer

$\frac{62470\left(x^3-\frac{1}{226}x^2\right)+120x-\frac{1}{9852}}{\left(x-1\right)^{2}}$

Step-by-step explanation

Problem to solve:

$\frac{\left(6.247\cdot\:10^4\cdot\:x^3-276.8\cdot x^2+120\cdot x-0.0001015\right)}{x^2-2\cdot x+1}$
1

Calculate the power

$\frac{\sqrt{39}10000x^3-276.8x^2+120x-\frac{1}{9852}}{x^2-2x+1}$
2

Multiply $\sqrt{39}$ times $10000$

$\frac{62470x^3-276.8x^2+120x-\frac{1}{9852}}{x^2-2x+1}$

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Answer

$\frac{62470\left(x^3-\frac{1}{226}x^2\right)+120x-\frac{1}{9852}}{\left(x-1\right)^{2}}$

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$\frac{\left(6.247\cdot\:10^4\cdot\:x^3-276.8\cdot x^2+120\cdot x-0.0001015\right)}{x^2-2\cdot x+1}$

Main topic:

Perfect square trinomial

Time to solve it:

~ 0.59 seconds