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Nastenka14love
@Nastenka14love
October 2021
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m11m
96)
х²-2х+1
=
(х-1)²
=х-1
х-1 х-1
97)
х²+2х+1
=
(х+1)²
=х+1
х+1 х+1
98)
х²+6х+9
=
(х+3)²
=х+3
х+3 х+3
99)
х²-4х+4
=
(х-2)²
=х-2
х-2 х-2
100)
х²-8х+16
=
(х-4)²
=х-4
х-4 х-4
101)
х²-4х+4
=
(х-2)²
=
х-2
х²-4 (х-2)(х+2) х+2
102)
х²+6х+9
=
(х+3)²
=
х+3
х²-9 (х-3)(х+3) х-3
103)
х³-8
=
(х-2)(х²+2х+4)
=
х²+2х+4
х²-4 (х-2)(х+2) х+2
104)
х³+27
=
(х+3)(х²-3х+9)
=
х²-3х+9
х²-9 (х-3)(х+3) х-3
105)
х³-1
=
(х-1)(х²+х+1)
=
х²+х+1
(х-1)² (х-1)(х+1) х+1
106)
(х-2)²(х²-9)
=
(х-2)²(х-3)(х+3)
=
(х-2)(х-3)
(х²-4)(х+3)² (х-2)(х+2)(х+3)² (х+2)(х+3)
107) (х-1)²(х²-4) =
(х-1)²(х-2)(х+2)
=
(х-1)(х+2)
(х³-8)(х²-1) (х-2)(х²+2х+4)(х-1)(х+1) (х²+2х+4)(х+1)
108)
(х-2)²(х³-1)
=
(х-2)²(х-1)(х²+х+1)
=
(х-2)(х-1)
(х²+х+1)(х²-4) (х²+х+1)(х-2)(х+2) х+2
109)
(х-3)²(х³-8)
=
(х-3)²(х-2)(х²+2х+4)
=
(х-3)(х²+2х+4)
(х²-4)(х²-9) (х-2)(х+2)(х-3)(х+3) (х+2)(х+3)
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Answers & Comments
х-1 х-1
97) х²+2х+1=(х+1)²=х+1
х+1 х+1
98) х²+6х+9=(х+3)²=х+3
х+3 х+3
99) х²-4х+4=(х-2)²=х-2
х-2 х-2
100) х²-8х+16=(х-4)²=х-4
х-4 х-4
101) х²-4х+4= (х-2)² = х-2
х²-4 (х-2)(х+2) х+2
102) х²+6х+9= (х+3)² = х+3
х²-9 (х-3)(х+3) х-3
103) х³-8 = (х-2)(х²+2х+4)= х²+2х+4
х²-4 (х-2)(х+2) х+2
104) х³+27=(х+3)(х²-3х+9)=х²-3х+9
х²-9 (х-3)(х+3) х-3
105) х³-1 = (х-1)(х²+х+1)=х²+х+1
(х-1)² (х-1)(х+1) х+1
106) (х-2)²(х²-9) =(х-2)²(х-3)(х+3) =(х-2)(х-3)
(х²-4)(х+3)² (х-2)(х+2)(х+3)² (х+2)(х+3)
107) (х-1)²(х²-4) = (х-1)²(х-2)(х+2) = (х-1)(х+2)
(х³-8)(х²-1) (х-2)(х²+2х+4)(х-1)(х+1) (х²+2х+4)(х+1)
108) (х-2)²(х³-1) = (х-2)²(х-1)(х²+х+1) =(х-2)(х-1)
(х²+х+1)(х²-4) (х²+х+1)(х-2)(х+2) х+2
109) (х-3)²(х³-8) =(х-3)²(х-2)(х²+2х+4) =(х-3)(х²+2х+4)
(х²-4)(х²-9) (х-2)(х+2)(х-3)(х+3) (х+2)(х+3)