What is (7x^2-49x)/7*(x-9)/(x^2-16x+63) ?

The solution to (7x^2-49x)/7*(x-9)/(x^2-16x+63) is x

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simplify (7x^2-49x)/7*(x-9)/(x^2-16x+63)

simplify

\frac{7 x ^{2} - 49 x}{7} \cdot \frac{x - 9}{x ^{2} - 16 x + 63}

x

Solution steps

\frac{7 x ^{2} - 49 x}{7} \cdot \frac{x - 9}{x ^{2} - 16 x + 63}

Cancel

\frac{7 x ^{2} - 49 x}{7} : x (x - 7)

= x (x - 7) \frac{x - 9}{x ^{2} - 16 x + 63}

Cancel

\frac{x - 9}{x ^{2} - 16 x + 63} : \frac{1}{x - 7}

= x (x - 7) \frac{1}{x - 7}

Cross-cancel common factor:

x - 7

= x

125 - 20 + 45

\frac{21}{7}

2^{- 2} \cdot 2^{- 3} \cdot 2^{4}

(x + 6)^{2} - (x - 6)^{2}

(m + n) x - (m + n) y

What is (7x^2-49x)/7*(x-9)/(x^2-16x+63) ?
The solution to (7x^2-49x)/7*(x-9)/(x^2-16x+63) is x