1) (х+y)a=а(х+у)=ах+ау
2) 3x(2a+b)=6ах+3bx
3) 5x(6x+3y)=30x²+15xy
4) -6(5b-2a)=-30b+12a=12a-30b
5) b(x-y)=bx-by
6) 2y(3x-y)=6xy-2y²
7) 3a(-4b-2a)=-12ab-6a²=-(12ab+6a²)
8) 8m(m+n)=8m²+8mn
2. Вынесите за скобки общий множитель.
1) 4a+3a²=a(4+3a)
2) -20m+30n=-10(2m-3n) -20m+30n=30n-20m=10(3n-2m)
3) 5a²-15a=5a(a-3)
4) -6xy+9x²=-3x(2y-3x) -6xy+9x²=9x²-6xy=3x(3x-2y)
5) 0,5x³-2,5x=0,5x(x²-5)
6) 8xy-4y²=4y(2x-y)
7) -m²n²-mn=-mn(mn+1)
8)18pq³-9q⁴=9q³(2p-q)
1.
1) = ax+ay
2) = 6ax+3bx
3) = 30x^2+15xy
4) = -30b+12a
5) = bx-by
6) = 6xy-2y^2
7) = -12ab-6a^2
8) = 8m^2+8mn
2.
1) = a(4+3a)
2) = -10(2m-3n)
3) = 5a(a-3)
4) = -3x(2y-3x)
5) = 0,5x(x^2-5)
6) = 4y(2x-y)
7) = -mn(mn+1)
8) = 9q^3(2p-q)