Ответ:
Объяснение:
1) (2x)/(x-3) +(4x-4)/(x-3)=(2x+4x-4)/(x-3)=(2(3x-2))/(x-3)
2) p/(p-3) +6/(3-p)=(p-6)/(p-3)
3) 1/x² +(x-2)/x=(1+x(x-2))/x²=(x²-2x+1)/x²=(x-1)²/x²=((x-1)/x)²
4) 2 +2/(2n-1)=(4n-2+2)/(2n-1)=(4n)/(2n-1)
5) (a-b)/a² +(a-b)/(ab)=(b(a-b)+a(a-b))/(a²b)=((a-b)(a+b))/(a²b)=(a²-b²)/(a²b)
6) 6/(m+2) -(6m-5)/(m²+2m)=6/(m+2) -(6m-5)/(m(m+2))=(6m-6m+5)/(m(m+2))=5/(m(m+2))
7) (5a)/(2a+2b) -(4a)/(3a+3b)=(5a)/(2(a+b)) -(4a)/(3(a+b))=(15a-8a)/(6(a+b)=(7a)/(6(a+b))
8) (36+c²)/(c²-36) -c/(c-6)=(36+c²)/((c-6)(c+6)) -(c(c+6))/((c-6)(c+6))=(36+c²-c²-6c)/((c-6)(c+6))=(6(6-c))/(-(6-c)(c+6))=-6/(c+6)
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Answers & Comments
Ответ:
Объяснение:
1) (2x)/(x-3) +(4x-4)/(x-3)=(2x+4x-4)/(x-3)=(2(3x-2))/(x-3)
2) p/(p-3) +6/(3-p)=(p-6)/(p-3)
3) 1/x² +(x-2)/x=(1+x(x-2))/x²=(x²-2x+1)/x²=(x-1)²/x²=((x-1)/x)²
4) 2 +2/(2n-1)=(4n-2+2)/(2n-1)=(4n)/(2n-1)
5) (a-b)/a² +(a-b)/(ab)=(b(a-b)+a(a-b))/(a²b)=((a-b)(a+b))/(a²b)=(a²-b²)/(a²b)
6) 6/(m+2) -(6m-5)/(m²+2m)=6/(m+2) -(6m-5)/(m(m+2))=(6m-6m+5)/(m(m+2))=5/(m(m+2))
7) (5a)/(2a+2b) -(4a)/(3a+3b)=(5a)/(2(a+b)) -(4a)/(3(a+b))=(15a-8a)/(6(a+b)=(7a)/(6(a+b))
8) (36+c²)/(c²-36) -c/(c-6)=(36+c²)/((c-6)(c+6)) -(c(c+6))/((c-6)(c+6))=(36+c²-c²-6c)/((c-6)(c+6))=(6(6-c))/(-(6-c)(c+6))=-6/(c+6)