What is expand (0.9)(36)/((s^2+2s+36))(5/(s+5)) ?

The solution to expand (0.9)(36)/((s^2+2s+36))(5/(s+5)) is (162)/(s^3+7s^2+46s+180)

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expand (0.9)(36)/((s^2+2s+36))(5/(s+5))

expand

(0.9) \frac{36}{( s ^{2} + 2 s + 36 )} (\frac{5}{s + 5})

\frac{162}{s ^{3} + 7 s ^{2} + 46 s + 180}

Solution steps

(0.9) \frac{36}{s ^{2} + 2 s + 36} (\frac{5}{s + 5})

Remove parentheses:

(a) = a

= 0.9 \cdot \frac{36}{s ^{2} + 2 s + 36} \cdot \frac{5}{s + 5}

Multiply fractions:

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

= 0.9 \cdot \frac{36 \cdot 5}{( s ^{2} + 2 s + 36 ) ( s + 5 )}

Expand

\frac{36 \cdot 5}{( s ^{2} + 2 s + 36 ) ( s + 5 )} : \frac{180}{s ^{3} + 7 s ^{2} + 46 s + 180}

= 0.9 \cdot \frac{180}{s ^{3} + 7 s ^{2} + 46 s + 180}

Multiply fractions:

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

= \frac{180 \cdot 0.9}{s ^{3} + 7 s ^{2} + 46 s + 180}

Multiply the numbers:

180 \cdot 0.9 = 162

= \frac{162}{s ^{3} + 7 s ^{2} + 46 s + 180}

15 e (x^{2} + 9 x) - 3 (10 + x^{9}) - lo g_{3} (8 x^{2} - 12 x)

\frac{2}{( t + 2 ) ^{2}}

\frac{1}{( s ^{2} + 1 ) ( 2 s ^{2} - s - 1 )}

(x - 1) y^{''} (x) - x y^{'} (x) + y

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What is expand (0.9)(36)/((s^2+2s+36))(5/(s+5)) ?
The solution to expand (0.9)(36)/((s^2+2s+36))(5/(s+5)) is (162)/(s^3+7s^2+46s+180)