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Arbejdsark: Bogstavudtryk
Sådan ser udskriften ud
Bogstavudtryk
Niveau 3 · Gange to parenteser sammen
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Klasse
Gang parenteserne ud, og reducer.
1.
(
x
+
4
)
(
x
+
9
)
=
‾
(x + 4)(x + 9) = \underline{\hspace{4.5em}}
(
x
+
4
)
(
x
+
9
)
=
2.
(
x
−
2
)
(
x
+
4
)
=
‾
(x - 2)(x + 4) = \underline{\hspace{4.5em}}
(
x
−
2
)
(
x
+
4
)
=
3.
(
x
+
2
)
(
x
−
1
)
=
‾
(x + 2)(x - 1) = \underline{\hspace{4.5em}}
(
x
+
2
)
(
x
−
1
)
=
4.
(
x
+
5
)
2
=
‾
(x + 5)^2 = \underline{\hspace{4.5em}}
(
x
+
5
)
2
=
5.
(
x
+
1
)
2
=
‾
(x + 1)^2 = \underline{\hspace{4.5em}}
(
x
+
1
)
2
=
6.
(
x
−
1
)
2
=
‾
(x - 1)^2 = \underline{\hspace{4.5em}}
(
x
−
1
)
2
=
7.
(
x
−
5
)
2
=
‾
(x - 5)^2 = \underline{\hspace{4.5em}}
(
x
−
5
)
2
=
8.
(
x
+
8
)
(
x
−
8
)
=
‾
(x + 8)(x - 8) = \underline{\hspace{4.5em}}
(
x
+
8
)
(
x
−
8
)
=
9.
(
3
x
+
5
)
(
x
+
3
)
=
‾
(3x + 5)(x + 3) = \underline{\hspace{4.5em}}
(
3
x
+
5
)
(
x
+
3
)
=
10.
(
2
x
−
5
)
(
2
x
−
2
)
=
‾
(2x - 5)(2x - 2) = \underline{\hspace{4.5em}}
(
2
x
−
5
)
(
2
x
−
2
)
=
Facitliste
Bogstavudtryk · Niveau 3 · Gange to parenteser sammen
1.
x
2
+
13
x
+
36
x^{2} + 13x + 36
x
2
+
13
x
+
36
2.
x
2
+
2
x
−
8
x^{2} + 2x - 8
x
2
+
2
x
−
8
3.
x
2
+
x
−
2
x^{2} + x - 2
x
2
+
x
−
2
4.
x
2
+
10
x
+
25
x^{2} + 10x + 25
x
2
+
10
x
+
25
5.
x
2
+
2
x
+
1
x^{2} + 2x + 1
x
2
+
2
x
+
1
6.
x
2
−
2
x
+
1
x^{2} - 2x + 1
x
2
−
2
x
+
1
7.
x
2
−
10
x
+
25
x^{2} - 10x + 25
x
2
−
10
x
+
25
8.
x
2
−
64
x^{2} - 64
x
2
−
64
9.
3
x
2
+
14
x
+
15
3x^{2} + 14x + 15
3
x
2
+
14
x
+
15
10.
4
x
2
−
14
x
+
10
4x^{2} - 14x + 10
4
x
2
−
14
x
+
10
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