Объяснение:
№1
a) x–x²=0
Д= 1–4*0*(–1)= 1
х(1)=
х(2)=
б) 4у²–у=0
Д= 1–4*0*4=1
у(1)=
у(2)=
№2
а) 8а³–b³+4a²+2аb+b²= (2а–b)(4a²+2ab+b²)+(4a²+2аb+b²)= (4a²+2ab+b²)(2a–b+1)
б) 8а³–b³+4a²–4ab+b²= (2а–b)(4a²+2ab+b²)+(2a–b)²= (2a–b)(4a²+2ab+b²+2a–b)
c) –a²+8ab–16b²= –(a–4b)²
Объяснение:
№1
a) x–x²=0
Д= 1–4*0*(–1)= 1
х(1)=
х(2)=
б) 4у²–у=0
Д= 1–4*0*4=1
у(1)=
у(2)=
№2
а) 8а³–b³+4a²+2аb+b²= (2а–b)(4a²+2ab+b²)+(4a²+2аb+b²)= (4a²+2ab+b²)(2a–b+1)
б) 8а³–b³+4a²–4ab+b²= (2а–b)(4a²+2ab+b²)+(2a–b)²= (2a–b)(4a²+2ab+b²+2a–b)
c) –a²+8ab–16b²= –(a–4b)²