1)x-y+ax-ay=(x-y)+(ax-ay)=
=(x-y)+а(x-у)=(1+а)(х-у)
2)4ab²-3b²+8a²b-6ab=
=b²(4a-3)+2ab(4a-3)=
=(4a-3)(b²+2ab)=
=(4a-3)(b(b+2a))
(4a-3)(b(b+2a))=
=(4a-3)(b²+2ab)=4ab²+8a²b-3b²-6ab
=((a+b)^2 / 2ab )*(ab*(a-b)) / (a+b) =((a+b)*(a-b)) / 2 =(a^2-b^2) / 2
при a=2√3 b=3√5
(a^2-b^2)/2= ((2√3)^2 -(3√5)^2)/2=(12-45)/2= -16,5
1) f(x) = 3 x^4 - 15x^2 - 4x + 16;
f '(x) =12 x^3 - 30 x - 4;
f '(0) = 0 - 0 - 4 = - 4.
2) f(x) = 7^x / ln 7;
f '(x) = 7^x / ln 7;
f '(2) = 7^2 / ln 7= 49 / ln 7.