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Efectúe:

a)  (a22ab+4b2) (a+2b)( a^2 - 2*a*b + 4*b^2)  * (a + 2 * b)

var ('a,b')
(a, b)
expand ((a^2 - 2*a*b + 4*b^2) * ( a + 2*b) )
a^3 + 8*b^3

 b) (a4 +a3b+a2b2+ab3+b4)(ab)( a^4  + a^3*b + a^2*b^2 + a*b^3 + b^4) * (a - b)

var('a,b')
(a, b)
expand (( a^4 + a^3*b + a^2*b^2 + a*b^3 + b^4) * (a - b))
a^5 - b^5

c)  (axax+1+ax+2)(a+1)(a^x - a^x+1 +a^x+2) * (a+1)

var('a')
a
expand ((a^x - a^(x+1) +a^(x+2)) * (a+1))
a^x*a^3 + a^x