1.
a) 14b³ =2b²
49b 7
б) 4x-12 = 4 (x-3) = 4
x²-9 (x-3)(x+3) x+3
г) x³-3x²+2x-6 = x²(x-3)-2(x-3) = (x-3)(x²-2) = x²-2
x³-27 (x-3)(x²+3x+9) (x-3)(x²+3x+9) x²+3x+9
2.
a) ( 3m - 8m ) : 3m+7 + 5m-25 = m-5
( m+5 m²+10m+25) m²-25 m+5
По действиям:
1) 3m - 8m = 3m - 8m = 3m(m+5)-8m =
m+5 m²+10m+25 m+5 (m+5)² (m+5)²
=3m²+15m-8m=3m²+7m = m(3m+7)
(m+5)² (m+5)² (m+5)²
2) m(3m+7) : 3m+7 = m(3m+7) * (m-5)(m+5)= m(m-5)
(m+5)² m²-25 (m+5)² 3m+7 m+5
3) m(m-5) + 5m-25 = m(m-5)+5(m-5) = (m-5)(m+5)=m-5
m+5 m+5 m+5 m+5