X^3 -9x =x(x² -9) =x(x -3)(x +3)
1в)
2а )
3б)
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1)
-54а⁶в⁹ / с¹² * (-с²⁰ / 12а⁴в¹⁵) =
= 9/2 * а⁶⁻⁴ * в⁹⁻¹⁵ * с²⁰⁻¹² =
= 9/2 * а² * в⁻⁶ * с⁸ = 9а²с⁸ / 2в⁶,
2)
98м⁸ / р¹⁷ : (49м⁵р²) =
= 98/49 * м⁸⁻⁵ : р¹⁷⁺² =
= 2 * м³ : р¹⁹ = 2м³ / р¹⁹,
3)
(5а+5в) / в * 6в² / (а²-в²) =
= 5(а+в) / в * 6в² / (а-в)(а+в) =
= 30в / (а-в),
4)
(х²-49) / (3х-24) : (5х+35) / (х-8) =
= (х-7)(х+7) / (3(х-8)) : 5(х+7) / (х-8) =
= (х-7)(х+7) / (3(х-8)) * (х-8) / (5(х+7)) =
= (х-7) / 15
2х²+4ху + 2у² = 2(х²+2ху + у²)=2(x+y)²
3а² - 6а + 3 =3(а² - 2а + 1)= 3(a+1)²
2ху² + 4 ху + 2х =2x(y²+2y+1)=2x(y+1)²
6х² -12ху + 6у² =6(х² -2ху + у²)=6(x-y)²
5m²+10m + 5 =5(m²+2m+1)=5(m+1)²
3а - 6аb + 3аb² = 3a(1-2b+b²)=3a(1-b)²
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