What is (25h)/(5hsqrt(16+h)+20h) ?

The solution to (25h)/(5hsqrt(16+h)+20h) is 5/(sqrt(16+h)+4)

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simplify (25h)/(5hsqrt(16+h)+20h)

simplify

\frac{25 h}{5 h 16 + h + 20 h}

\frac{5}{16 + h + 4}

Solution steps

\frac{25 h}{5 h 16 + h + 20 h}

Factor out common term

5 h : 5 h (16 + h + 4)

= \frac{25 h}{5 h ( 16 + h + 4 )}

Cancel the common factor:

h

= \frac{25}{5 ( 16 + h + 4 )}

Factor the number:

25 = 5 \cdot 5

= \frac{5 \cdot 5}{5 ( 16 + h + 4 )}

Cancel the common factor:

5

= \frac{5}{16 + h + 4}

\frac{1}{3} + \frac{1}{3} + \frac{1}{2}

(4 x^{3}) (2 x)^{- 4}

90 \times 3

+ x^{3} + 2 x^{2} + 5 x + 10

121 - 144 x^{2}

What is (25h)/(5hsqrt(16+h)+20h) ?
The solution to (25h)/(5hsqrt(16+h)+20h) is 5/(sqrt(16+h)+4)