What is (x^2-11x+28)/(x^3-4x^2) ?

The solution to (x^2-11x+28)/(x^3-4x^2) is (x-7)/(x^2)

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simplify (x^2-11x+28)/(x^3-4x^2)

simplify

\frac{x ^{2} - 11 x + 28}{x ^{3} - 4 x ^{2}}

\frac{x - 7}{x ^{2}}

Solution steps

\frac{x ^{2} - 11 x + 28}{x ^{3} - 4 x ^{2}}

Factor

x^{2} - 11 x + 28 : (x - 4) (x - 7)

= \frac{( x - 4 ) ( x - 7 )}{x ^{3} - 4 x ^{2}}

Factor

x^{3} - 4 x^{2} : x^{2} (x - 4)

= \frac{( x - 4 ) ( x - 7 )}{x ^{2} ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x - 7}{x ^{2}}

(- 1)^{35}

2 a^{2} - 5 a - 3

(3 x - 4 y)^{6}

(\frac{1}{2} x + 1)^{2}

(x^{2} - y)^{2}

What is (x^2-11x+28)/(x^3-4x^2) ?
The solution to (x^2-11x+28)/(x^3-4x^2) is (x-7)/(x^2)