Сократите дробь:
(15a²b³)/(18а³b)=(5b)/(6a)
(b²-9)/(b²+3b)=((b-3)(b+3))/(b(b+3))=(b-3)/b
(48p³q⁴)/(36p²q³)=(4pq)/3
(x²+6x+9)/(x²-9)=(x+3)^2 / ((x-3)(x+3))=(x+3)/(x-3)
Приведите дроби к наименьшему общему знаменателю
(7x)/(12y) и (5y)/(8x)
(7x)/(12y)=(7x*2x)/(12y*2x)=(14x^2)/(24xy)
(5y)/(8x)=(5y*3y)/(8x*3y)=(15y^2)/(24xy)
(3b)/a и 9/(a+b)
3b/a=(3b*(a+b))/(a(a+b))=(3ab+3b^2)/(a^2+ab)
9/(a+b)=(9*a)/((a+b)a)=(9a)/(a^2+ab)
m/(m+n) и n/(m-n)
m/(m+n)=(m(m-n))/((m+n)(m-n))=(m^2-mn)/(m^2-n^2)
n/(m-n)=(n(m+n))/((m-n)(m+n))=(nm+n^2)/(m^2-n^2)
(2a)/(3a-3) и (a+2)/(a²-1)
(2a)/(3a-3)=(2a(a+1))/((3a-3)(a+1))=(2a^2+2a)/(3a^2-3)
(a+2)/(a²-1)=((a+2)*3)/((a^2-1)*3)=(3a+6)/(3a^2-3)
(10x²)/(9y²) и 8/(12xy)
(10x²)/(9y²)=(10x^2 *x)/(9y^2 *x)=(10x^3)/(9y^2x)
8/(12xy)=2/(3xy)=(2*3y)/.(3xy *3y)=(6y)/(9y^2x)
(b+2)/(4b) и (4b+5)/(4b-8)
(b+2)/(4b)=((b+2)(b-2))/(4b(b-2))=(b^2-4)/(4b^2-8b)
(4b+5)/(4b-8)=((4b+5)b)/((4b-8)b)=(4b^2+5b)/(4b^2-8b)
(2c)/(c+d) и (3d)/(d-c)
(2c)/(c+d)=(2c(d-c))/((c+d)(d-c))=(2cd-2c^2)/(d^2-c^2)
(3d)/(d-c)=(3d(c+d))/((d-c)(c+d))=(3cd+3d^2)/ (d^2-c^2)
(5t)/(t²-25) и (t+5)/(t-5)²
(5t)/(t²-25)=(5t(t-5))/((t^2-25)(t-5))=(5t^2-25t)/(t^3-5t^2-25t+125)
(t+5)/(t-5)²=((t+5)^2)/((t-5)^2(t+5))=(t^2+10t+25)/(t^3-5t^2-25t+125)