What is (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3) ?

The solution to (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3) is ((x-4)(x+6))/x

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simplify (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)

simplify

\frac{x ^{2} ( x - 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x + 6 )}{x ^{3}}

\frac{( x - 4 ) ( x + 6 )}{x}

Solution steps

\frac{x ^{2} ( x - 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x + 6 )}{x ^{3}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ^{2} ( x - 4 ) ( x - 3 ) ( x + 6 )}{( x - 3 ) x ^{3}}

Cancel the common factor:

x - 3

= \frac{x ^{2} ( x - 4 ) ( x + 6 )}{x ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x^{2} x

= \frac{x ^{2} ( x - 4 ) ( x + 6 )}{x ^{2} x}

Cancel the common factor:

x^{2}

= \frac{( x - 4 ) ( x + 6 )}{x}

lo g_{10} (a^{4} b)

20 \cdot lo g_{10} (1)

(n + 2) (n - 2)

\frac{20 !}{18 !}

4 a + 2 b

What is (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3) ?
The solution to (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3) is ((x-4)(x+6))/x