Question

Упростите Выражение:
$(-2 frac{4}{9} a^{2} b+2 frac{1}{5}a^{3} b^{2} -ab^{5} )(-2 frac{1}{22} a^{4} b^{5})$

Answer 1

$(-2frac{4}{9}a^2b+2frac{1}{5}a^3b^2-ab^5)(-2frac{1}{22}a^4b^5)=\\=(-frac{22}{9}a^2b+frac{11}{5}a^3b^2-ab^5)*(-frac{45}{22}a^4b^5)=\\=-frac{22}{9}a^2b*(-frac{45}{22}a^4b^5)+frac{11}{5}a^3b^2*(-frac{45}{22}a^4b^5)-ab^5*(-frac{45}{22}a^4b^5)=\\frac{22*5*9}{9*22}a^{2+4}b^{1+5}-frac{11*5*9}{11*2*5}a^{3+4}b^{2+5}+frac{45}{22}a^{1+4}b^{5+5}=\\5a^6b^6-4.5a^7b^7+frac{45}{22}a^5b^{10}$