What is 3/(x^2-25)*(10)/(3x-15) ?

The solution to 3/(x^2-25)*(10)/(3x-15) is (10)/((x^2-25)(x-5))

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simplify 3/(x^2-25)*(10)/(3x-15)

simplify

\frac{3}{x ^{2} - 25} \cdot \frac{10}{3 x - 15}

\frac{10}{( x ^{2} - 25 ) ( x - 5 )}

Solution steps

\frac{3}{x ^{2} - 25} \cdot \frac{10}{3 x - 15}

Apply the fraction rule:

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

= \frac{3 \cdot 10}{( x ^{2} - 25 ) ( 3 x - 15 )}

Factor

3 x - 15 : 3 (x - 5)

= \frac{3 \cdot 10}{( x ^{2} - 25 ) \cdot 3 ( x - 5 )}

Cancel the common factor:

3

= \frac{10}{( x ^{2} - 25 ) ( x - 5 )}

∣ x + y i ∣

4 (2 x - 3) - 2 (5 x + 4)

+ 6 + 7 a - 20 a^{2}

3 - \frac{1}{9}

5 i^{18} + 7 i^{25} + 2 i^{28} + 6 i^{43}

What is 3/(x^2-25)*(10)/(3x-15) ?
The solution to 3/(x^2-25)*(10)/(3x-15) is (10)/((x^2-25)(x-5))