Розкладить на множники 3a3b+6a4b2+3a5b3

а)

б) 

14х^2-5х-1         

10х^2-13 х + 4

14х^2-5x-1=14(x-1/2)(x+1/7)

d=25-4*14*(-1)=25+56=81

x1=(5+9): 28=14/28=1/2; x2=(5-9): 28=-4/28=-1/7

10х^2-13 х + 4=10(x-4/5)(x-1/2)

d=169-4*10*4=169-160=9

x1=(13+3): 20=4/5;   x2=(13-3): 20=10/20=1/2

14х^2-5х-1          = 14(x-1/2)(x+1/7)= 7(x+1/7)=7x+1

10х^2-13 х + 4      10(x-4/5)(x-1/2)    5(x-4/5)    5x-4

{а1+11d=6

{a1+23d=12

{a1=6-11d

{6-11d+23d=12

12d=12-6

12d=6

d=6: 12

d=0,5

a1=6-11d=6-11*0,5=6-5,5=0,5

a18=a1+17d=0,5+17*0,5=9

(y²+yx+x²)(y²-yx+x²)(y⁴-y²x²+x⁴)(y⁸-y⁴x⁴+x⁸)=y^16+x^8y^8+y^16

(y²+yx+x²)(y²-yx+x²)=(y^2+x^2)^2-x^2y2=y^4+x^2y^2+y^4,

(y^4+x^2y^2+y^4)(y^4-x^2y^2+y^4)=(x^4+y^4)^2-(x^2y^2)^2=

=y^8+x^4y^4+y^8,

(y^8+x^4y^4+y^8)(y^8-x^4y^4+y^8)=(x^8+y^8)^2-(x^4y^4)^2=

=y^16+x^8y^8+y^16,

ответ: y^16+x^8y^8+y^16