What is s*(1+s/3)*(1+s/(20)) ?

The solution to s*(1+s/3)*(1+s/(20)) is (s(3+s)(20+s))/(60)

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simplify s(1+s/3)(1+s/(20))

simplify

s \cdot (1 + \frac{s}{3}) \cdot (1 + \frac{s}{20})

\frac{s ( 3 + s ) ( 20 + s )}{60}

Solution steps

s (1 + \frac{s}{3}) (1 + \frac{s}{20})

Join

1 + \frac{s}{3} : \frac{3 + s}{3}

= s \frac{3 + s}{3} (1 + \frac{s}{20})

Apply the fraction rule:

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

= \frac{s ( 3 + s ) ( 1 + \frac{s}{20} )}{3}

Simplify

s (3 + s) (1 + \frac{s}{20}) : \frac{s ( 3 + s ) ( 20 + s )}{20}

= \frac{\frac{s ( 3 + s ) ( 20 + s )}{20}}{3}

Apply the fraction rule:

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

= \frac{s ( 3 + s ) ( 20 + s )}{20 \cdot 3}

Multiply the numbers:

20 \cdot 3 = 60

= \frac{s ( 3 + s ) ( 20 + s )}{60}

- \frac{2 ( - 3 x ^{2} + 1 )}{( 1 + x ^{2} ) ^{3}}

(x + 1) (x - 3)

(x + 2) (x + 15)

ln (x) (x - 1)

sin (θ) (cot (θ) + csc (θ))

What is s*(1+s/3)*(1+s/(20)) ?
The solution to s*(1+s/3)*(1+s/(20)) is (s(3+s)(20+s))/(60)