What is expand (a*s+(0.1*a+2*b))/((s+0.1)^3) ?

The solution to expand (a*s+(0.1*a+2*b))/((s+0.1)^3) is (as+0.1a+2b)/(s^3+0.3s^2+0.03s+0.001)

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expand (as+(0.1a+2*b))/((s+0.1)^3)

expand

\frac{a \cdot s + ( 0.1 \cdot a + 2 \cdot b )}{( s + 0.1 ) ^{3}}

\frac{a s + 0.1 a + 2 b}{s ^{3} + 0.3 s ^{2} + 0.03 s + 0.001}

Solution steps

\frac{a s + ( 0.1 a + 2 b )}{( s + 0.1 ) ^{3}}

Remove parentheses:

(a) = a

= \frac{a s + 0.1 a + 2 b}{( s + 0.1 ) ^{3}}

(s + 0.1)^{3} = s^{3} + 0.3 s^{2} + 0.03 s + 0.001

= \frac{a s + 0.1 a + 2 b}{s ^{3} + 0.3 s ^{2} + 0.03 s + 0.001}

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What is expand (a*s+(0.1*a+2*b))/((s+0.1)^3) ?
The solution to expand (a*s+(0.1*a+2*b))/((s+0.1)^3) is (as+0.1a+2b)/(s^3+0.3s^2+0.03s+0.001)