Aktiviteter 3

3.1)

Regn ut og trekk sammen om mulig.

a)
x ⋅ 2x
b)
2x ⋅ 3
c)
x ⋅ 2y
d)
5x ⋅ x

a)
x ⋅ 2x
b)
2x ⋅ 3
c)
x ⋅ 2y
d)
5x ⋅ x

3.2)

Regn ut og trekk sammen om mulig.

a)
a + b ⋅ a + b
b)
a ⋅ b + 3 ⋅ a
c)
a + 3 ⋅ b ⋅ a + 4 ⋅ b
d)
x + 2 ⋅ y ⋅ y + 4 ⋅ x ⋅ y − 3 ⋅ y
e)
x ⋅ x ⋅ y + y
f)
x ⋅ y + x ⋅ y + x ⋅ y + x ⋅ y

a)
a + b ⋅ a + b
b)
a ⋅ b + 3 ⋅ a
c)
a + 3 ⋅ b ⋅ a + 4 ⋅ b
d)
x + 2 ⋅ y ⋅ y + 4 ⋅ x ⋅ y − 3 ⋅ y
e)
x ⋅ x ⋅ y + y
f)
x ⋅ y + x ⋅ y + x ⋅ y + x ⋅ y

3.3)

Regn ut og trekk sammen om mulig.

a)
2a + a − b + 3 + 3b
b)
2a + a2 + 2a2 − a
c)
2a ⋅ a + 2 − b − 4
d)
− c + b ⋅ b − c ⋅ b + 1
e)
3 ⋅ b ⋅ c ⋅ a − a ⋅ b + b ⋅ c − 2 ⋅ a ⋅ b
f)
− a2 ⋅ a + 2 ⋅ a ⋅ b ⋅ a + 2 ⋅ a3

a)
2a + a − b + 3 + 3b
b)
2a + a2 + 2a2 − a
c)
2a ⋅ a + 2 − b − 4
d)
− c + b ⋅ b − c ⋅ b + 1
e)
3 ⋅ b ⋅ c ⋅ a − a ⋅ b + b ⋅ c − 2 ⋅ a ⋅ b
f)
− a2 ⋅ a + 2 ⋅ a ⋅ b ⋅ a + 2 ⋅ a3

3.4)

Forenkle uttrykket så mye som mulig.

a)
5 ⋅ 4b ⋅ 3a − 20ab + 3ba ⋅ 10
b)
50a ⋅ 10 − 60 ⋅ 10a + 200a
c)
5b ⋅ 8 − 4 ⋅ 8a + 50a
d)
50tru + 9 ⋅ 4tr ⋅ 3u − 100t ⋅ ur

a)
5 ⋅ 4b ⋅ 3a − 20ab + 3ba ⋅ 10
b)
50a ⋅ 10 − 60 ⋅ 10a + 200a
c)
5b ⋅ 8 − 4 ⋅ 8a + 50a
d)
50tru + 9 ⋅ 4tr ⋅ 3u − 100t ⋅ ur

3.5)

Forenkle uttrykket så mye som mulig.

a)
6 ⋅ x ⋅ x + 3 ⋅ t ⋅ 7 − 4x2 + 6 ⋅ 5
b)
12a ⋅ 2a + 3w ⋅ 3w − a ⋅ a − w ⋅ w
c)
15 ⋅ 3s ⋅ s − 7s2 ⋅ 3 + 9s ⋅ 5s
d)
k ⋅ k ⋅ k + k ⋅ 2k + 5k
e)
w2 + 3w − 5w2 + w3
f)
13n4 − 4n3 ⋅ n + n ⋅ 5n2 ⋅ 5n

a)
6 ⋅ x ⋅ x + 3 ⋅ t ⋅ 7 − 4x2 + 6 ⋅ 5
b)
12a ⋅ 2a + 3w ⋅ 3w − a ⋅ a − w ⋅ w
c)
15 ⋅ 3s ⋅ s − 7s2 ⋅ 3 + 9s ⋅ 5s
d)
k ⋅ k ⋅ k + k ⋅ 2k + 5k
e)
w2 + 3w − 5w2 + w3
f)
13n4 − 4n3 ⋅ n + n ⋅ 5n2 ⋅ 5n

3.6)

Forenkle uttrykket så mye som mulig.

a)
a2 + 3b + a
b)
2a + 3b + a2 + 4a + 2a2
c)
b + b2 + 2b + 5b
d)
2b + 2b2b3b4
e)
3 + a + 1 + 3a
f)
5 + 2 + 2a + 11 + 3a
g)
2a + 5b + 11 + 17a2b2
h)
4x + 2y + 11x + 3y2

a)
a2 + 3b + a
b)
2a + 3b + a2 + 4a + 2a2
c)
b + b2 + 2b + 5b
d)
2b + 2b2b3b4
e)
3 + a + 1 + 3a
f)
5 + 2 + 2a + 11 + 3a
g)
2a + 5b + 11 + 17a2b2
h)
4x + 2y + 11x + 3y2

3.7)

Regn ut.

a)
2 ⋅ 3x ⋅ y
b)
y4x ⋅ 6g ⋅ 3
c)
7 ⋅ 3 ⋅ 3p
d)
5h ⋅ 5a ⋅ 2a
e)
6i ⋅ 4c ⋅ 5e
f)
2l ⋅ 2e ⋅ 2m ⋅ 2o ⋅ 2n
g)
20f ⋅ 3i ⋅ l ⋅ 4m
h)
7t ⋅ 8e ⋅ 10a

a)
2 ⋅ 3x ⋅ y
b)
y4x ⋅ 6g ⋅ 3
c)
7 ⋅ 3 ⋅ 3p
d)
5h ⋅ 5a ⋅ 2a
e)
6i ⋅ 4c ⋅ 5e
f)
2l ⋅ 2e ⋅ 2m ⋅ 2o ⋅ 2n
g)
20f ⋅ 3i ⋅ l ⋅ 4m
h)
7t ⋅ 8e ⋅ 10a

Du kan finne fasit her.