Вправи 201 - 300 » 206

206. Спростіть вираз: 1) ((1+a)/(a^2- ab) – (1-b)/(b^2- ab)) • (a^2 b-ab^2)/(a+b) = ((1+a)/(a(a-b)) – (1-b)/(b(b-a))) • (ab(a-b))/(a+b) = (〖1+a〗^(\b)/(a(a-b)) + 〖1-b〗^(\a)/(b(a-b)) • (ab(a-b))/(a+b) = (b+ab+a-ab)/(ab(a-b)) • (ab(a-b))/(a+b) = (a+b)/(ab(a-b)) • (ab(a-b))/(a+b) • ((a+b)•ab •(a-b))/(ab(a-b)(a+b)) = 1. 2) ((〖3(x〗^2 〖y)〗^3)/(〖(3ac〗^2 )^2 ))2 • (a^3 c^4)/(〖15x〗^3 y^4 ) = ((〖3x〗^6 y^3)/(〖9a〗^2 c^4 )) • (a^3 c^4)/(〖15x〗^3 y^4 ) = ((x^6 y^3)/(〖3a〗^2 c^4 )) • (a^3 c^4)/(〖15x〗^3 y^4 ) = (x^12 y^6)/(〖9a〗^4 c^8 ) • (a^3 c^4)/(〖15x〗^3 y^4 ) = (x^12 y^6• a^3 c^4)/(〖9a〗^4 c^8 • 〖15x〗^3 y^4 ) = (a^3 c^4 x^12 y^6)/(〖135a〗^4 c^8 x^3 y^4 ) = (x^9 y^2)/〖135ac〗^4 .