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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
p
q
r
+
9
p
q
r
+
14
p
q
(2)
2
u
v
w
+
15
u
v
w
+
56
u
v
(3)
2
a
b
c
+
11
a
b
c
+
24
a
b
(4)
2
2
a
b
−
19
a
b
c
+
90
a
c
(5)
2
8
u
−
648
(6)
2
2
p
q
+
16
p
q
r
+
63
p
r
©2026 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
2
p
q
r
+
9
p
q
r
+
14
p
q
2
=
p
q
(
r
+
9
r
+
14
)
=
p
q
(
r
+
7
)
(
r
+
2
)
(2)
2
u
v
w
+
15
u
v
w
+
56
u
v
2
=
u
v
(
w
+
15
w
+
56
)
=
u
v
(
w
+
7
)
(
w
+
8
)
(3)
2
a
b
c
+
11
a
b
c
+
24
a
b
2
=
a
b
(
c
+
11
c
+
24
)
=
a
b
(
c
+
3
)
(
c
+
8
)
(4)
2
2
a
b
−
19
a
b
c
+
90
a
c
2
2
=
a
(
b
−
19
b
c
+
90
c
)
=
a
(
b
−
10
c
)
(
b
−
9
c
)
(5)
2
8
u
−
648
2
=
8
(
u
−
81
)
=
8
(
u
−
9
)
(
u
+
9
)
(6)
2
2
p
q
+
16
p
q
r
+
63
p
r
2
2
=
p
(
q
+
16
q
r
+
63
r
)
=
p
(
q
+
7
r
)
(
q
+
9
r
)