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Simplify the expression $\frac{\sqrt{x^2-2x+6}-\sqrt{x^2+2x-6}}{x^3-5x^2+7x-3}$

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Solution

Videos

Pre-Calculus - Mulitplying by the LCM to simplify a complex fraction, (1/4 + 2/3)/(5/6 - 1/12)

https://www.youtube.com/watch?v=Cz-Gq4tqQ6c

Tutorial - Simplify a trigonometric expression by factoring ex 26, 2(cosx)^2 + cosx - 3

https://www.youtube.com/watch?v=X35--yiv4Ms

Algebra 2 - Dividing two rational expressions by factoring, ((x + y)/6) / ((x^2 - y^2)/3)

https://www.youtube.com/watch?v=mAn_OHWNj2c

Simplifying an expression using distributive property and a fraction, 15(f + (1/3))

https://www.youtube.com/watch?v=YHRcEnYQCpU

Algebra 2 - Learn how solve a quadratic by completing the square with fractions, x^2 + 3x + 6 = 0

https://www.youtube.com/watch?v=KWBr5zM3tXs

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

https://www.youtube.com/watch?v=OjNDpBeMpxI

Similar Problems Solved

$\frac{\frac{3x-6}{x^2+21x+54}}{\frac{40x^2}{x^2+6x+9}}$

$\frac{x^5+\left(2\cdot \sqrt{3}+2\right) x^3+2\cdot \sqrt{2}+7}{x-\sqrt{2}+1}$

$\frac{m^3n\sqrt{x}}{\left(2^4 m^7 n^6\cdot x\right)^{\frac{1}{5}}}$

$\frac{x^4-\frac{4}{3} x^3-2x^2-\frac{4}{3}\cdot x+1}{x-2}$

$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

$\frac{\frac{x^2-16}{x-1}}{\frac{x^2+6x+8}{x^2+2x-3}}$

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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