3. а) = х²(х-8)-2(х-8) = (х-8)(х²-2)
б) = а²(а-1)-4(а-1) = (а-1)(а²-4) = (а-1)(а-2)(а+2)
4. а) = (а-b)(a+b)-(a-b) = (a-b)(a+b-1)
б) = m⁴(m²-1)+(m²-1) = (m²-1)(m⁴+1) = (m-1)(m+1)(m⁴+1)
5. а) = (49-29)² / (49-19)(49+19) = 20² / 30*68 = 400 / 2040 = 10/51
6. а) (х+2)²-(4х)² = 0
(х+2-4х)(х+2+4х) = 0
(-3х+2)(5х+2) = 0
-3х+2=0 или 5х+2=0
-3х=-2 5х= -2
х₁= 2/3 х₂= - 2/5 = -0,4