1) 63ab³ - 7a²b = 7ab(9b² - a)
2) m² + 6mn + 9n² - m - 3n = (m + 3n)² -(m +3n) = (m+3n)(m+3n -1)
3) (b-c)(b+c) -a(a +2c) = b² - c² - a² -2ac = b² -(c² +a² + 2ac) =
= b² - (c + a)² = (b - c - a)(b + c +a)
разность
квадратов
4) х² +4х +3 = х² +2*2*х + 4 - 4 + 3 = (х +2)² -1 = (х+2 -1)(х+2 +1) =
=(х+1)(х+3)
5) х^4 +3x² + 4 = x^4 + 2*x² *1,5 +2,25 - 2,25 +4 =
= (x² +1,5)² + 1,75