What is (7x^3)/(21x^2-105x) ?

The solution to (7x^3)/(21x^2-105x) is (x^2)/(3(x-5))

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simplify (7x^3)/(21x^2-105x)

simplify

\frac{7 x ^{3}}{21 x ^{2} - 105 x}

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

Solution steps

\frac{7 x ^{3}}{21 x ^{2} - 105 x}

Factor

21 x^{2} - 105 x : 21 x (x - 5)

= \frac{7 x ^{3}}{21 x ( x - 5 )}

Factor the number:

21 = 7 \cdot 3

= \frac{7 x ^{3}}{7 \cdot 3 x ( x - 5 )}

Cancel the common factor:

7

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x

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

\frac{28 a ^{6} b ^{4} c}{- 7 a ^{5} b ^{4} c}

\frac{2500}{10 5}

\frac{1}{2} 1

1 + \frac{1}{n}

\frac{( 2 x ^{3} + 7 x ^{2} - 6 x - 8 )}{( x + 4 )}

What is (7x^3)/(21x^2-105x) ?
The solution to (7x^3)/(21x^2-105x) is (x^2)/(3(x-5))