What is (3x)/(5x-15)*(x-3)/(9x^2) ?

The solution to (3x)/(5x-15)*(x-3)/(9x^2) is 1/(15x)

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simplify (3x)/(5x-15)*(x-3)/(9x^2)

simplify

\frac{3 x}{5 x - 15} \cdot \frac{x - 3}{9 x ^{2}}

\frac{1}{15 x}

Solution steps

\frac{3 x}{5 x - 15} \cdot \frac{x - 3}{9 x ^{2}}

Apply the fraction rule:

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

= \frac{3 x ( x - 3 )}{( 5 x - 15 ) \cdot 9 x ^{2}}

Factor the number:

9 = 3 \cdot 3

= \frac{3 x ( x - 3 )}{( 5 x - 15 ) \cdot 3 \cdot 3 x ^{2}}

Cancel the common factor:

3

= \frac{x ( x - 3 )}{( 5 x - 15 ) \cdot 3 x ^{2}}

Apply exponent rule:

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

x^{2} = xx

= \frac{x ( x - 3 )}{( 5 x - 15 ) \cdot 3 xx}

Cancel the common factor:

x

= \frac{x - 3}{( 5 x - 15 ) \cdot 3 x}

Factor

5 x - 15 : 5 (x - 3)

= \frac{x - 3}{5 ( x - 3 ) \cdot 3 x}

Cancel the common factor:

x - 3

= \frac{1}{5 \cdot 3 x}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{1}{15 x}

5 e^{5 i}

(x^{2} + 7 x + 6) (x + 4)

\frac{1}{6} \times \frac{3}{4}

(x + 5) - (3 x - 7)

3162

What is (3x)/(5x-15)*(x-3)/(9x^2) ?
The solution to (3x)/(5x-15)*(x-3)/(9x^2) is 1/(15x)