1.а) (х-1)²+(2х+1)²=х²-2х+1+4х²+4х+1=5х²+2х+2б) (3-4у)(4у+3)=(3-4у)(3+4у)=9-16у²в) (3-а)(9+3а+а²)=3³-а³=27-а³г) (2а+1)³=(2а)³+3*(2а)²*1+3*2а*1²+1³=8а³+12а²+6а+12.а) 25а²-10а+1=(5а-1)²б) 64х²-9у²=(8х-3у)(8х+3у)в) 64х³-27у³=(4х)³-(3у)³=(4х-3у)(16х²+12ху+9у²)г) b⁵-b³+b²-1=(b⁵-b³)+(b²-1)=b³(b²-1)+(b²-1)=(b²-1)(b³+1)==(b-1)(b+1)(b+1)(b²-b+1)=(b+1)²(b-1)(b²-b+1)3.a)
43²-17²=
(43-17)(43+17) =
26*60=
1 69²-9² (69-9)(69+9) 60*78 3б)
14²+28*16+16²=
(14+16)² =
30² =
30 = 2 15*17+15*13 15(17+13) 15*30 154.а) 4у²-25=0(2у-5)(2у+5)=02у-5=0 2у+5=02у=5 2у=-5у=2,5 у=-2,5Ответ: -2,5; 2,5б) (6х-1)²-(3х-5)²=0(6х-1-3х+5)(6х-1+3х-5)=0(3х+4)(9х-6)=03х+4=0 9х-6=03х=-4 9х=6х=-4/3 х=6/9х=-1¹/₃ х=²/₃Ответ: -1¹/₃; ²/₃.