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Soluzione del esercizio 169 di Matematica.verde, Vol. 1 (seconda edizione)
Esercizi svolti per il libro Matematica.verde, Vol. 1 (seconda edizione)
Capitolo
Scegli il capitolo
Capitolo 6 - I monomi
Capitolo 6 - Allenamento
Capitolo 6 - Prova B
Capitolo 7 - I polinomi
Esercizio
Scegli l'esercizio
14
48
73
110
169
260
294
319
83
84
Soluzione
[
(
−
5
2
)
2
⋅
a
2
⋅
2
⋅
b
2
+
(
−
a
3
⋅
4
⋅
a
⋅
b
2
)
]
:
(
3
4
)
2
⋅
a
2
⋅
b
2
−
(
6
2
⋅
a
2
⋅
b
2
)
:
(
−
2
)
2
⋅
b
2
[(-\dfrac{5}{2})^2 \cdot a^{2 \cdot 2} \cdot b^2 + (-a^3 \cdot 4 \cdot a \cdot b^2)] : (\dfrac{3}{4})^2 \cdot a^2 \cdot b^2 - (6^2 \cdot a^2 \cdot b^2) : (-2)^2 \cdot b^2
[(
−
2
5
)
2
⋅
a
2
⋅
2
⋅
b
2
+
(
−
a
3
⋅
4
⋅
a
⋅
b
2
)]
:
(
4
3
)
2
⋅
a
2
⋅
b
2
−
(
6
2
⋅
a
2
⋅
b
2
)
:
(
−
2
)
2
⋅
b
2
[
25
4
a
4
b
2
+
(
−
4
a
3
+
1
b
2
)
]
:
9
16
a
2
b
2
−
36
a
2
b
2
:
4
b
2
[\dfrac{25}{4}a^4b^2 + (-4a^{3+1}b^2)] : \dfrac{9}{16}a^2b^2 - 36a^2b^2 : 4b^2
[
4
25
a
4
b
2
+
(
−
4
a
3
+
1
b
2
)]
:
16
9
a
2
b
2
−
36
a
2
b
2
:
4
b
2
[
25
4
a
4
b
2
−
4
a
4
b
2
]
:
9
16
a
2
b
2
−
(
36
:
4
)
⋅
a
2
⋅
b
2
−
2
[\dfrac{25}{4}a^4b^2-4a^4b^2] : \dfrac{9}{16}a^2b^2 - (36 :4) \cdot a^2 \cdot b^{2-2}
[
4
25
a
4
b
2
−
4
a
4
b
2
]
:
16
9
a
2
b
2
−
(
36
:
4
)
⋅
a
2
⋅
b
2
−
2
[
25
a
4
b
2
−
16
a
4
b
2
4
]
:
9
16
a
2
b
2
−
9
a
2
b
0
[\dfrac{25a^4b^2-16a^4b^2}{4}] : \dfrac{9}{16}a^2b^2 - 9a^2b^0
[
4
25
a
4
b
2
−
16
a
4
b
2
]
:
16
9
a
2
b
2
−
9
a
2
b
0
9
4
a
4
b
2
:
9
16
a
2
b
2
−
9
a
2
\dfrac{9}{4}a^4b^2 : \dfrac{9}{16}a^2b^2 - 9a^2
4
9
a
4
b
2
:
16
9
a
2
b
2
−
9
a
2
(
9
4
:
9
16
)
⋅
a
4
−
2
⋅
b
2
−
2
−
9
a
2
(\dfrac{9}{4} : \dfrac{9}{16}) \cdot a^{4-2} \cdot b^{2-2} - 9a^2
(
4
9
:
16
9
)
⋅
a
4
−
2
⋅
b
2
−
2
−
9
a
2
9
4
⋅
16
9
\dfrac{\cancel9}{\cancel4} \cdot \dfrac{\cancel{16}}{\cancel9}
4
9
⋅
9
16
⋅
\cdot
⋅
a
2
⋅
b
0
−
9
a
2
a^2 \cdot b^0 - 9a^2
a
2
⋅
b
0
−
9
a
2
4
a
2
−
9
a
2
4a^2-9a^2
4
a
2
−
9
a
2
−
5
a
2
-5a^2
−
5
a
2