Ответ:
151. 1)(a-b)/7a:(a-b)/7b=b/a
2)(x²-y²)/x²:(6x+6y)/x^5=(x-y)(x+y)•x^5/x²•6(x+y)=x³(x-y)/6
3)(c-5)/(c²-4c):(c-5)/(5c-20)=(c-5)•5(c-4)/c(c-4)(c-5)=5/c
4)(x-y)/xy:(x²-y²)/3xy=(x-y)•3xy/xy(x-y)(x+y)=3/(x+y)
5) (a²-25)/(a+7):(a-5)/(a+7)=(a-5)(a+5)•(a+7)/(a+7)(a-5)=(a+5)
6)(a²-4a+4)/(a+2):(a-2)=(a-2)²/(a+2)(a-2)=(a-2)/(a+2)
7)(p²-16k²):(p+4k)/p=(p-4k)(p+4k)p/(p+4k)=p(p-4k)
8)(a²-ab)/a²:(a²-2ab+b²)/ab=a(a-b)•ab/(a-b)²=a²b/(a-b)
152. 1)(5m-2n)/10k:(5m-2n)/10k²=(5m-2n)•10k²/10k(5m-2n)=k
2)(p+3)/(p²-2p):(p+3)/(4p-8)=(p+3)•4(p-2)/p(p-2)(p+3)=4/p
3)(a²-b²)/2ab:(a+b)/ab=(a-b)(a+b)ab/(a+b)•2ab=(a-b)/2
4)(a²-16)/(a-3):(a+4)/(a-3)=(a-4)(a+4)(a-3)/(a-3)(a+4)=a-4
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Answers & Comments
Ответ:
151. 1)(a-b)/7a:(a-b)/7b=b/a
2)(x²-y²)/x²:(6x+6y)/x^5=(x-y)(x+y)•x^5/x²•6(x+y)=x³(x-y)/6
3)(c-5)/(c²-4c):(c-5)/(5c-20)=(c-5)•5(c-4)/c(c-4)(c-5)=5/c
4)(x-y)/xy:(x²-y²)/3xy=(x-y)•3xy/xy(x-y)(x+y)=3/(x+y)
5) (a²-25)/(a+7):(a-5)/(a+7)=(a-5)(a+5)•(a+7)/(a+7)(a-5)=(a+5)
6)(a²-4a+4)/(a+2):(a-2)=(a-2)²/(a+2)(a-2)=(a-2)/(a+2)
7)(p²-16k²):(p+4k)/p=(p-4k)(p+4k)p/(p+4k)=p(p-4k)
8)(a²-ab)/a²:(a²-2ab+b²)/ab=a(a-b)•ab/(a-b)²=a²b/(a-b)
152. 1)(5m-2n)/10k:(5m-2n)/10k²=(5m-2n)•10k²/10k(5m-2n)=k
2)(p+3)/(p²-2p):(p+3)/(4p-8)=(p+3)•4(p-2)/p(p-2)(p+3)=4/p
3)(a²-b²)/2ab:(a+b)/ab=(a-b)(a+b)ab/(a+b)•2ab=(a-b)/2
4)(a²-16)/(a-3):(a+4)/(a-3)=(a-4)(a+4)(a-3)/(a-3)(a+4)=a-4