What is (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x) ?

The solution to (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x) is 1

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simplify (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x)

simplify

\frac{x ( x - 4 ) ^{2}}{x ^{2} - 5 x + 4} \cdot \frac{6 x ^{2} - 60 x + 54}{6 x ^{3} - 78 x ^{2} + 216 x}

1

Solution steps

\frac{x ( x - 4 ) ^{2}}{x ^{2} - 5 x + 4} \cdot \frac{6 x ^{2} - 60 x + 54}{6 x ^{3} - 78 x ^{2} + 216 x}

Cancel

\frac{x ( x - 4 ) ^{2}}{x ^{2} - 5 x + 4} : \frac{x ( x - 4 )}{x - 1}

= \frac{x ( x - 4 )}{x - 1} \cdot \frac{6 x ^{2} - 60 x + 54}{6 x ^{3} - 78 x ^{2} + 216 x}

Cancel

\frac{6 x ^{2} - 60 x + 54}{6 x ^{3} - 78 x ^{2} + 216 x} : \frac{x - 1}{x ( x - 4 )}

= \frac{x ( x - 4 )}{x - 1} \cdot \frac{x - 1}{x ( x - 4 )}

Cross cancel:

\frac{a}{b} \cdot \frac{b}{a} = 1

= 1

- 24 \div 6

\frac{72}{120}

13 x^{2} y^{2} (- 7 x^{5} y^{2})

\frac{12 !}{3 ! 9 !}

ln (100000)

What is (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x) ?
The solution to (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x) is 1