Тренажер 7. умноже деление многочленов 1) (a+3) (b-7), 3) (a-5) (11-b); 5) (x-4) (x+8); 7) (x-5) (9-х); 9) (8+3x) (2y-1); 11) (2a-1) (3a+7), 13) (3a²-1) (2x+ 1); 15) (3x²-1) (2x²+1); 17) (a+2) (a²-a-3); 19) (5b-1) (b²-5b+1); 21) 2 (b+1) (b+3); 23) -8 (y-1) (y+5); 25) (m²-m-1) (m²+m+1); 27) (x+1) (x⁴-x³+x²-x+1); 29) (y+3) (y-5) (y²+2y-15)
= (4b+a)(3a²b² + 4b- a)
2) 49c² -14c+1 -21ac+3a = (49c²-14c+1) -3a(7c - 1) = (7c - 1)² - 3a(7c - 1) =
=(7c-1)(7c - 1 - 3a)
3)ax²+ay²+x^4+2x²y²+y^4 = a(x²+y²)+(x^4+2x²y²+y^4) = a(x²+y²) +(x²+y²)²=
= (x²+y²) (a +x²+y²)
4) 27c³-d³+9c²+3cd+d² = [(3c)³-d³]+ (9c²+3cd+d²) =
=[(3c - d)(9c²+3cd+d²)] + (9c²+3cd+d²) = (9c²+3cd+d²) (3c-d+1)
5) b³-2b²-2b+1 =(b³ + 1) - 2b( b+1) = (b+1)(b² -b+1) - 2b(b+1) =
= (b+1)(b² -b+1-2b) = (b+1)(b² -3b+1)