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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
a
b
+
a
b
−
72
b
(2)
2
a
b
c
+
10
a
b
c
+
21
a
b
(3)
2
u
v
w
+
8
u
v
w
+
12
u
v
(4)
2
p
q
r
+
19
p
q
r
+
90
p
q
(5)
2
a
b
c
−
11
a
b
c
+
18
a
b
(6)
2
a
b
c
−
9
a
b
c
+
18
a
b
©2026 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
2
a
b
+
a
b
−
72
b
2
=
b
(
a
+
a
−
72
)
=
b
(
a
−
8
)
(
a
+
9
)
(2)
2
a
b
c
+
10
a
b
c
+
21
a
b
2
=
a
b
(
c
+
10
c
+
21
)
=
a
b
(
c
+
3
)
(
c
+
7
)
(3)
2
u
v
w
+
8
u
v
w
+
12
u
v
2
=
u
v
(
w
+
8
w
+
12
)
=
u
v
(
w
+
2
)
(
w
+
6
)
(4)
2
p
q
r
+
19
p
q
r
+
90
p
q
2
=
p
q
(
r
+
19
r
+
90
)
=
p
q
(
r
+
9
)
(
r
+
10
)
(5)
2
a
b
c
−
11
a
b
c
+
18
a
b
2
=
a
b
(
c
−
11
c
+
18
)
=
a
b
(
c
−
2
)
(
c
−
9
)
(6)
2
a
b
c
−
9
a
b
c
+
18
a
b
2
=
a
b
(
c
−
9
c
+
18
)
=
a
b
(
c
−
6
)
(
c
−
3
)