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©2026 数学クラブ http://sugaku.club/
月 日( )
● 次の式を因数分解しなさい
[1B3-00]
(1)
2
2
v
+
14
v
w
+
49
w
(2)
2
36
a
+
84
a
+
49
(3)
2
25
u
−
10
u
+
1
(4)
2
49
x
+
140
x
+
100
(5)
2
2
q
+
6
q
r
+
9
r
(6)
2
64
y
−
144
y
+
81
(7)
2
x
+
18
x
+
81
(8)
2
u
+
4
u
+
4
(9)
2
b
+
12
b
+
36
(10)
2
25
x
+
90
x
+
81
(11)
2
9
b
+
12
b
+
4
(12)
2
9
u
−
24
u
+
16
(13)
2
49
x
+
42
x
+
9
(14)
2
2
u
+
10
u
v
+
25
v
©2026 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
2
2
v
+
14
v
w
+
49
w
2
=
(
v
+
7
w
)
(2)
2
36
a
+
84
a
+
49
2
=
(
6
a
+
7
)
(3)
2
25
u
−
10
u
+
1
2
=
(
5
u
−
1
)
(4)
2
49
x
+
140
x
+
100
2
=
(
7
x
+
10
)
(5)
2
2
q
+
6
q
r
+
9
r
2
=
(
q
+
3
r
)
(6)
2
64
y
−
144
y
+
81
2
=
(
8
y
−
9
)
(7)
2
x
+
18
x
+
81
2
=
(
x
+
9
)
(8)
2
u
+
4
u
+
4
2
=
(
u
+
2
)
(9)
2
b
+
12
b
+
36
2
=
(
b
+
6
)
(10)
2
25
x
+
90
x
+
81
2
=
(
5
x
+
9
)
(11)
2
9
b
+
12
b
+
4
2
=
(
3
b
+
2
)
(12)
2
9
u
−
24
u
+
16
2
=
(
3
u
−
4
)
(13)
2
49
x
+
42
x
+
9
2
=
(
7
x
+
3
)
(14)
2
2
u
+
10
u
v
+
25
v
2
=
(
u
+
5
v
)