What is (7x^3)/(14x^2+112x) ?

The solution to (7x^3)/(14x^2+112x) is (x^2)/(2(x+8))

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simplify (7x^3)/(14x^2+112x)

simplify

\frac{7 x ^{3}}{14 x ^{2} + 112 x}

\frac{x ^{2}}{2 ( x + 8 )}

Solution steps

\frac{7 x ^{3}}{14 x ^{2} + 112 x}

Factor

14 x^{2} + 112 x : 14 x (x + 8)

= \frac{7 x ^{3}}{14 x ( x + 8 )}

Factor the number:

14 = 7 \cdot 2

= \frac{7 x ^{3}}{7 \cdot 2 x ( x + 8 )}

Cancel the common factor:

7

= \frac{x ^{3}}{2 x ( x + 8 )}

Apply exponent rule:

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

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

= \frac{x x ^{2}}{2 x ( x + 8 )}

Cancel the common factor:

x

= \frac{x ^{2}}{2 ( x + 8 )}

\frac{x ^{2} - x - 6}{x ^{2} - 2 x - 3}

48 x^{8} - 27

(2 + y)^{5}

(- 7 + 3 i) (3 + 2 i)

- 2^{- x}

What is (7x^3)/(14x^2+112x) ?
The solution to (7x^3)/(14x^2+112x) is (x^2)/(2(x+8))