What is expand (a*(s-b)(s-c))/((s+a)*(s+a+d)) ?

The solution to expand (a*(s-b)(s-c))/((s+a)*(s+a+d)) is (as^2-acs-abs+abc)/(2as+ds+s^2+a^2+ad)

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expand (a(s-b)(s-c))/((s+a)(s+a+d))

expand

\frac{a \cdot ( s - b ) ( s - c )}{( s + a ) \cdot ( s + a + d )}

\frac{a s ^{2} - a cs - ab s + ab c}{2 a s + d s + s ^{2} + a ^{2} + a d}

Solution steps

\frac{a ( s - b ) ( s - c )}{( s + a ) ( s + a + d )}

Expand

(s + a) (s + a + d) : 2 a s + d s + s^{2} + a^{2} + a d

= \frac{a ( s - b ) ( s - c )}{2 a s + d s + s ^{2} + a ^{2} + a d}

Expand

a (s - b) (s - c) : a s^{2} - a cs - ab s + ab c

= \frac{a s ^{2} - a cs - ab s + ab c}{2 a s + d s + s ^{2} + a ^{2} + a d}

\frac{2 ( 3 x ^{2} + 10 x + 30 )}{( 10 - x ^{2} ) ^{2}}

\frac{x ( 9 - y )}{x ^{2} + 6}

\frac{X ^{3} ( 1 + X + X ^{5} )}{1 + X + X ^{2}}

(6 - 4 ln (3 - x))^{2}

\frac{7 x - 9}{( x + 1 ) ( x - 3 )}

What is expand (a*(s-b)(s-c))/((s+a)*(s+a+d)) ?
The solution to expand (a*(s-b)(s-c))/((s+a)*(s+a+d)) is (as^2-acs-abs+abc)/(2as+ds+s^2+a^2+ad)