Question

 

выполните умножение (a3+ba2)/(a-b)*(a2-b2)/(a2+2ab+b2)*(1/a+1/b)

 

 

Answer 1

$frac{a^3+ba^2}{a-b}*frac{a^2-b^2}{a^2+2ab+b^2}*(frac{1}{a}+frac{1}{b})=frac{ab+a^2}{b}\ 1)frac{a^3+ba^2}{a-b}*frac{a^2-b^2}{a^2+2ab+b^2}=frac{a^2(a+b)}{a-b}*frac{(a-b)(a+b)}{(a+b)(a+b)}=a^2\ 2) a^2*(frac{1}{a}+frac{1}{b})=a^2*frac{b+a}{ab}=frac{a(b+a)}{b}=frac{ab+a^2}{b}$