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Step-by-step Solution

Simplify the expression $\frac{6.247x^310^4-276.8x^2+120x-\frac{1}{9803}}{x^2-2x+1}$

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Step-by-step explanation

Problem to solve:

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

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{6.247\cdot 10000x^3-276.8x^2+120x-\frac{1}{9803}}{x^2-2x+1}$

Unlock this full step-by-step solution!

Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (6.24710^4*x^3-276.8x^2+120x-1.015E-4)/(x^2-2x+1). Calculate the power 10^4. Multiply 6.247 times 10000. The trinomial x^2-2x+1 is perfect square, because it's discriminant is equal to zero. Using the perfect square trinomial formula.

Answer

$\frac{62470x^3-276.8x^2+120x-\frac{1}{9803}}{\left(x-1\right)^{2}}$

Problem Analysis

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

Time to solve it:

~ 0.51 seconds