1)3xˇ2-12x=3x(x-4)
ab-2a+bˇ2-2b=a(b-2)+b(b-2)=(b-2)(a+b)
4xˇ2-9 =(2x)ˇ2-3ˇ2=(2x+3)(2x-3)
xˇ3-8xˇ2+16x=x(xˇ2-8x+16)=x(x-4)(x-4)=x(x-4)ˇ2
2)(15-5y)/(9-yˇ2)=5(3-y)/(3-y)(3+y)=5/(y+3)
(mˇ2-4mn+4nˇ2)/(mˇ2-4nˇ2)=(m-2n)(m-2n)/(m+2n)(m-2n)=
(m-2n)/(m+2n)
3)xˇ3-64x=x(xˇ2-8ˇ2)=x(x+8)(x-8)
4)xˇ2-12x+32=0, C načala rešim eto uravnenie.
D=144-128=15, V(D)=V(16)=4
x1=(12+4)/2=16/2=8,x2=(12-4)/2=8/2=4
Polučim xˇ2-12x+32=(x-x1)(x-x2)=(x-8)(x-4)
5)87.43 + (87ˇ3-43ˇ3)/44=87.43+ (87-43)(87ˇ2+87.43 +43ˇ2)/44=
=87.43+44(87ˇ2+87.43+43ˇ2)/44=
=87.43+(87ˇ2+87.43+43ˇ2)=87ˇ2 + 2.87.43+43ˇ2=(87+43)ˇ2=
=130ˇ2=16900