[:it]I monomi e polinomi: soluzione agli esercizi [:en]I monomi e polinomi: soluzione degli esercizi (3.2)[:de]I monomi e polinomi: soluzione degli esercizi (3.2)[:]

[:it]

Carlo Carrà “La musa metafisica”, 1917

Ecco di seguito le soluzioni degli esercizi:

Esercizio 6.1.

$3a+5b+7a+5b+5a+\dfrac{5}{2}a$
$=\left(3+7+5+\dfrac{5}{2}\right)a+(5+5)b$

$=\dfrac{6+14+10+5}{2}a+10b$

$=\dfrac{35}{2}a + 10b$

___

Esercizio 6.2

$2a^2+5a+7+3a^2+5b+4+5a$

$=(2+3)a^2+(5+5)a+5b+(7+4)$

$=5a^2+10a+5b+11$

___

Esercizio 6.3

$3d+d+7a+8a+12a+2b+4b+5b+6b$

$=(7+8+12)a+(2+4+5+6)b+(3+1)d$

$=27a+17b+4d$

___

Esercizio 6.4

$2a+5b+7c+8d+9s+12d+13a+15a+34s$

$=(2+13+15)a+5b+7c+(8+12)d+(9+34)s$

$=30a+5b+7c+20d+43s$

___

Esercizio 6.5

$3b+\dfrac{8}{3}b+\dfrac{2}{5}b+\dfrac{1}{5}$

$=\left(3+\dfrac{8}{3}+\dfrac{2}{5}\right)b+\dfrac{1}{5}$

$=\dfrac{45+40+6}{15}b+\dfrac{1}{5}$

$=\dfrac{91}{15}b+\dfrac{1}{5}$

___

Esercizio 6.6

$4a+3a+7b+4d+2a+2e+7b+12b$

$=(4+3+2)a+(7+7+12)b+4d+2e$

$=9a+26b+4d+2e.$

___

Esercizio 6.7

$12a+12b+12a(a+1)$

$=(12+12)a+12b(a+1)$

$=24a+12b+12a^2.$

___

Esercizio 6.8

$2(a)+5(b)+7(c)+3a+7a+7b+7c$

$=(2+3+7)a+(5+7)b+(7+7)c$

$=12a+12b+14c.$

___

Esercizio 6.9

$a(b)(c)+7ab+9ab+12abc+13a$

$=abc+(7+9)ab+12abc+13a$

$=(1+12)abc+16ab+13a$

$=13abc+16ab+13a.$

___

Esercizio 6.10

$\dfrac{5}{2}a+\dfrac{5}{2}b+\dfrac{5}{4}a+\dfrac{5}{4}b$

$=\left(\dfrac{10+5}{4}\right)a+\left(\dfrac{10+5}{4}\right)b$

$=\dfrac{15}{4}a+\dfrac{15}{4}b.$ [:en]

Carlo Carrà “La musa metafisica”, 1917

Ecco di seguito le soluzioni degli esercizi:

Esercizio 1.

$3a+5b+7a+5b+5a+\dfrac{5}{2}a$
$=\left(3+7+5+\dfrac{5}{2}\right)a+(5+5)b$

$=\dfrac{6+14+10+5}{2}a+10b$

$=\dfrac{35}{2}a + 10b$

___

Esercizio 2

$2a^2+5a+7+3a^2+5b+4+5a$

$=(2+3)a^2+(5+10)a+5b+(7+4)$

$=5a^2+15a+5b+11$

___

Esercizio 3

$3d+d+7a+8a+12a+2b+4b+5b+6b$

$=(7+8+12)a+(2+4+5+6)b+(3+1)d$

$=27a+17b+4d$

___

Esercizio 4

$2a+5b+7c+8d+9s+12d+13a+15a+34s$

$=(2+13+15)a+5b+7c+(8+12)d+(9+34)s$

$=30a+5b+7c+20d+43s$

___

Esercizio 5

$3b+\dfrac{8}{3}b+\dfrac{2}{5}b+\dfrac{1}{5}$

$=\left(3+\dfrac{8}{3}+\dfrac{2}{5}\right)b+\dfrac{1}{5}$

$=\dfrac{45+40+6}{15}b+\dfrac{1}{5}$

$=\dfrac{91}{15}b+\dfrac{1}{5}$

___

Esercizio 6

$4a+3a+7b+4d+2a+2e+7b+12b$

$=(4+3+2)a+(7+7+12)b+4d+2e$

$=9a+26b+4d+2e.$

___

Esercizio 7

$12a+12b+12a(a+1)$

$=(12+12)a+12b(a+1)$

$=24a+12b+12a^2.$

___

Esercizio 8

$2(a)+5(b)+7(c)+3a+7a+7b+7c$

$=(2+3+7)a+(5+7)b+(7+7)c$

$=12a+12b+14c.$

___

Esercizio 9

$a(b)(c)+7ab+9ab+12abc+13a$

$=abc+(7+9)ab+12abc+13a$

$=(1+12)abc+16ab+13a$

$=13abc+16ab+13a.$

___

Esercizio 10

$\dfrac{5}{2}a+\dfrac{5}{2}b+\dfrac{5}{4}a+\dfrac{5}{4}b$

$=\left(\dfrac{10+5}{4}\right)a+\left(\dfrac{10+5}{4}\right)b$

$=\dfrac{15}{4}a+\dfrac{15}{4}b.$ [:de]

Carlo Carrà “La musa metafisica”, 1917

Ecco di seguito le soluzioni degli esercizi:

Esercizio 1.

$3a+5b+7a+5b+5a+\dfrac{5}{2}a$
$=\left(3+7+5+\dfrac{5}{2}\right)a+(5+5)b$

$=\dfrac{6+14+10+5}{2}a+10b$

$=\dfrac{35}{2}a + 10b$

___

Esercizio 2

$2a^2+5a+7+3a^2+5b+4+5a$

$=(2+3)a^2+(5+10)a+5b+(7+4)$

$=5a^2+15a+5b+11$

___

Esercizio 3

$3d+d+7a+8a+12a+2b+4b+5b+6b$

$=(7+8+12)a+(2+4+5+6)b+(3+1)d$

$=27a+17b+4d$

___

Esercizio 4

$2a+5b+7c+8d+9s+12d+13a+15a+34s$

$=(2+13+15)a+5b+7c+(8+12)d+(9+34)s$

$=30a+5b+7c+20d+43s$

___

Esercizio 5

$3b+\dfrac{8}{3}b+\dfrac{2}{5}b+\dfrac{1}{5}$

$=\left(3+\dfrac{8}{3}+\dfrac{2}{5}\right)b+\dfrac{1}{5}$

$=\dfrac{45+40+6}{15}b+\dfrac{1}{5}$

$=\dfrac{91}{15}b+\dfrac{1}{5}$

___

Esercizio 6

$4a+3a+7b+4d+2a+2e+7b+12b$

$=(4+3+2)a+(7+7+12)b+4d+2e$

$=9a+26b+4d+2e.$

___

Esercizio 7

$12a+12b+12a(a+1)$

$=(12+12)a+12b(a+1)$

$=24a+12b+12a^2.$

___

Esercizio 8

$2(a)+5(b)+7(c)+3a+7a+7b+7c$

$=(2+3+7)a+(5+7)b+(7+7)c$

$=12a+12b+14c.$

___

Esercizio 9

$a(b)(c)+7ab+9ab+12abc+13a$

$=abc+(7+9)ab+12abc+13a$

$=(1+12)abc+16ab+13a$

$=13abc+16ab+13a.$

___

Esercizio 10

$\dfrac{5}{2}a+\dfrac{5}{2}b+\dfrac{5}{4}a+\dfrac{5}{4}b$

$=\left(\dfrac{10+5}{4}\right)a+\left(\dfrac{10+5}{4}\right)b$

$=\dfrac{15}{4}a+\dfrac{15}{4}b.$ [:]

[:it]I monomi e polinomi: soluzione agli esercizi [:en]I monomi e polinomi: soluzione degli esercizi (3.2)[:de]I monomi e polinomi: soluzione degli esercizi (3.2)[:]

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