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viktoriaviktoriaua
@viktoriaviktoriaua
October 2021
1
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Answers & Comments
m11m
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
1 votes
Thanks 1
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Answers & Comments
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