1)
x²y+x+xy²+y+2xy+2 = (x²y+xy²+2xy)+(х+у+2) =
= ху(х+у+2)
+(х+у+2) = (х+у+2)·(ху+1)
2)
9a²-16 = (3а)² - 4² = (3а- 4)·(3а+4)
3)
x²-8ax+16a² = x²- 2 ·х · 4а + (4a)² = (х - 4а)² = (х - 4а)·(х - 4а)
4)
(a+2b)²-(3a-b)² = ((a+2b)-(3a-b)) · ((a+2b) + (3a-b)) =
= (a+2b-3a+b) · (a+2b + 3a-b) = (- 2a +3b)·(4a+b)
5)
x²+2xy+y²-a² = (x²+2xy+y²) - a² = (x+y)² - a² = (x+y-a)·(x+y+a)
10,5; 13; 15,5 ... d=? a₄=?
d=a₂-a₁=13-10,5=2,5
a₄=a₁+3d=10,5+3*2,5=10,5+7,5=18. или
a₄=a₃+d=15,5+2,5=18.
1. = 4z³-8z²+4z;
2. = 9b²+6b-3b-2 = 9b²+3b-2;
3. = 8b-64b+1-8b = -64b+1;
4. = y²+14y+49.