Question

№1
а) $frac{a^{2} b}{12c} * frac{4c}{ab^{2} }$
б) $- frac{2x}{3y} * frac{y}{6x}$
в) $frac{a^{2} -b^{2} }{a+3b} : frac{ab+b^{2} }{2a+6b}$
г) $frac{c ^{2} +4c+4}{2c-6} * frac{c^{2}-9 }{5c+10}$
№2
a) $frac{a}{a-b} - frac{a-b}{a+b}$
б) $frac{a^{2} }{a^{2}-1 } - frac{a}{a+1}$
в) $frac{a^{2} +y^{2} }{ay-y^{2} } - frac{20}{a-y}$
г) $frac{a}{3a+3b} : frac{a^{2} }{a^{2}-b^{2} }$
д) $(a+1+ frac{1}{a-1} : frac{a^{2} }{1-2a+a^{2} }$

Answer 1

№1
а
a/3b
б
-1/9
в
(a-b)(a+b)/(a+3b)*2(a+3b)/[b(a+b)]=2(a-b)/b
г
(c+2)²/[2(c-3)]*(c-3)(c+3)/[5(c+2)]=(c+2)(c+3)/10
№2
а
a/(a-b)-(a-b)/(a+b)=(a²+ab-a²+2ab-b²)/(a²-b²)=(3ab-b²)/(a²-b²)
б
a²/[(a-1)(a=1)]-a/(a-1)=(a²-a²+a)/(a²-1)=a/(a²-1)
в
(a²+y²)/[y(a-y)-20/(a-y)=(a²+y²-20y)/(ay-y²)
г
a/[3(a+b)]*(a-b)(a+b)/a²=(a-b)/3a
д
1)a+1+1/(a-1)=(a²-1+1)/(a-1)=a²/(a-1)
2)a²/(a-1)*(a-1)²/a²=a-1