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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
[1B5-00]
(1)
2
u
v
w
+
9
u
v
w
+
20
u
v
(2)
2
8
p
q
+
80
p
q
+
192
q
(3)
2
u
v
w
+
3
u
v
w
+
2
u
v
(4)
2
3
u
v
+
36
u
v
+
81
v
(5)
2
8
x
−
72
(6)
2
2
p
q
+
14
p
q
r
+
45
p
r
©2026 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
2
u
v
w
+
9
u
v
w
+
20
u
v
2
=
u
v
(
w
+
9
w
+
20
)
=
u
v
(
w
+
4
)
(
w
+
5
)
(2)
2
8
p
q
+
80
p
q
+
192
q
2
=
8
q
(
p
+
10
p
+
24
)
=
8
q
(
p
+
4
)
(
p
+
6
)
(3)
2
u
v
w
+
3
u
v
w
+
2
u
v
2
=
u
v
(
w
+
3
w
+
2
)
=
u
v
(
w
+
1
)
(
w
+
2
)
(4)
2
3
u
v
+
36
u
v
+
81
v
2
=
3
v
(
u
+
12
u
+
27
)
=
3
v
(
u
+
9
)
(
u
+
3
)
(5)
2
8
x
−
72
2
=
8
(
x
−
9
)
=
8
(
x
+
3
)
(
x
−
3
)
(6)
2
2
p
q
+
14
p
q
r
+
45
p
r
2
2
=
p
(
q
+
14
q
r
+
45
r
)
=
p
(
q
+
9
r
)
(
q
+
5
r
)