What is (4x^3-36x^2)/(x^2-14x+45) ?

The solution to (4x^3-36x^2)/(x^2-14x+45) is (4x^2)/(x-5)

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simplify (4x^3-36x^2)/(x^2-14x+45)

simplify

\frac{4 x ^{3} - 36 x ^{2}}{x ^{2} - 14 x + 45}

\frac{4 x ^{2}}{x - 5}

Solution steps

\frac{4 x ^{3} - 36 x ^{2}}{x ^{2} - 14 x + 45}

Factor

4 x^{3} - 36 x^{2} : 4 x^{2} (x - 9)

= \frac{4 x ^{2} ( x - 9 )}{x ^{2} - 14 x + 45}

Factor

x^{2} - 14 x + 45 : (x - 5) (x - 9)

= \frac{4 x ^{2} ( x - 9 )}{( x - 5 ) ( x - 9 )}

Cancel the common factor:

x - 9

= \frac{4 x ^{2}}{x - 5}

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

\frac{10}{26}

\frac{6 x}{2}

\frac{19}{7}

7 + (- 2)

What is (4x^3-36x^2)/(x^2-14x+45) ?
The solution to (4x^3-36x^2)/(x^2-14x+45) is (4x^2)/(x-5)