- Ejercicio 9
ejercicios, reducimos todos los términos positivos y los términos
negativos, después realizamos la suma algebraica de ambos.
-
9a–3a+5a=(
9a+5a
)
–3a=14a–3a=11a -
–8x+9x–x=(
–8x–x
)
+9x)=–9x+9x=0 -
12mn–23mn–5mn=(
–23mn–5mn
)
+12mn=–28mn+12mn=–16mn -
–x+19x–18x=(
–x–18x
)
+19x=–19x+19x=0 -
19m–10m+6m=(
19m+6m
)
–10m=15m–10m=5m -
–11ab–15ab+26ab=(
–11ab–15ab
)
+26ab=–26ab+26ab=0 -
–5
a
x
+9a
x
–35a
x
=(–5a
x
–35a
x
)
+9a
x
=–40a
x
+9a
x
=–31a
x
-
–24
a
x+2
–15a
x+2
+39a
x+2
=(–24a
x+2
–15a
x+2
)
+39a
x+2
=–39a
x+2
+39a
x+2
=0 -
2
3
y+
1
3
y–y=(
2
3
y+
1
3
y
)
–y=(
2y+y
3
)
–y=y–y=0 -
–
3
5
m+
1
4
m–
1
2
m=(–
3
5
m–
1
2
m
)
+
1
4
m=(
–6m–5m
10
)
+
1
4
m=–
11
10
m+
1
4
m=
–22m+5m
20
=–
17m
20
-
3
8
a
2
b+
1
4
a
2
b–
a
2
b=(
3
8
a
2
b+
1
4
a
2
b
)
–
a
2
b=(
3
a
2
b+2
a
2
b
8
)
–
a
2
b=
5
8
a
2
b–
a
2
b=
5
a
2
b–8
a
2
b
8
=–
3
a
2
b
8
-
–a+8a+9a–15a=(
–a–15a
)
+(8a+9a
)
=–16a+17a=a -
7ab–11ab+20ab–31ab=(
–11ab–31ab
)
+(7ab+20ab
)
=–42ab+27ab=–15ab -
25
x
2
–50x
2
+11x
2
+4x
2
=(25
x
2
+11x
2
+4x
2
)
–50x
2
=40x
2
–50x
2
=–10x
2
-
–xy–8xy+19xy+40xy=(
–xy–8xy
)
+(19xy+40xy
)
=–9xy+59xy=50xy -
7ab+21ab–ab–80ab=(
–ab–80ab
)
+(7ab+21ab
)
=–81ab+28ab=–53ab -
–25x
y
2
+11x
y
2
+60x
y
2
–82x
y
2
=(–25x
y
2
–82x
y
2
)
+(11x
y
2
+60x
y
2
)
=–107x
y
2
+71x
y
2
=–36x
y
2
-
–72ax+87ax–101ax+243ax=(
–72ax–101ax
)
+(87ax+243ax
)
=–173ax+330ax=–157ax -
–82bx–71bx–53bx+206bx=(
–82bx–71bx–53bx
)
+206bx=–206bx+206bx=0 -
105
a
3
–464a
3
+58a
3
+301a
3
=(105a
3
+58a
3
+301a
3
)
–464a
3
=464a
3
–464a
3
=0 -
1
2
x–
1
3
x+
1
4
x–
1
5
x=(–
1
3
x–
1
5
x
)
+(
1
2
x+
1
4
x
)
=
–5x–3x
15
+
2x+x
4
=–
8
15
x+
3
4
x=
–32x+45x
60
=
13x
60
-
1
3
y–
1
3
y+
1
6
y–
1
12
y=(–
1
3
y–
1
12
y
)
+(
1
3
y+
1
6
y
)
=
–4y–y
12
+
2y+y
6
=–
5
12
y+
y
2
=
–5y+6y
12
=
y
12
-
3
5
a
2
b–
1
6
a
2
b+
1
3
a
2
b–
a
2
b=(–
1
6
a
2
b–
a
2
b
)
+(
3
5
a
2
b+
1
3
a
2
b
)
=
–
a
2
b–6
a
2
b
6
+
9
a
2
b+5
a
2
b
15
=–
7
a
2
b
6
+
14
a
2
b
15
=
–35
a
2
b+28
a
2
b
30
=–
7
a
2
b
30
-
–
5
6
a
b
2
–
1
6
a
b
2
+a
b
2
–
3
8
a
b
2
=(–
5
6
a
b
2
–
1
6
a
b
2
–
3
8
a
b
2
)
+a
b
2
=
–20a
b
2
–4a
b
2
–9a
b
2
24
+a
b
2
=
–11a
b
2
8
+a
b
2
=
–11a
b
2
+8a
b
2
8
=–
3a
b
2
8
-
–a+8a–11a+15a–75a=(
–a–11a–75a
)
+(8a+15a
)
=–87a+23a=–64a -
–7c+21c+14c–30c+82c=(
–7c–30c
)
+(21c+14c+82c
)
=–37c+117c=80c -
–mn+14mn–31mn–mn+20mn=(
–mn–31mn–mn
)
+(14mn+20mn
)
=–33mn+34mn=mn -
a
2
y–7a
2
y–93a
2
y+51a
2
y+48a
2
y=(–7a
2
y–93a
2
y
)
+(a
2
y+51a
2
y+48a
2
y
)
=–100a
2
y+100a
2
y=0 -
–a+a–a+a–3a+6a=(
–a–a–3a
)
+(a+a+6a
)
=–5a+8a=3a -
1
2
x+
2
3
x–
7
6
x+
1
2
x–x=(–
7
6
x–x
)
+(
1
2
x+
2
3
x+
1
2
x
)
=
–7x–6x
6
+
3x+4x+3x
6
=–
13x
6
+
10x
6
=
–13x+10x
6
=–
3x
6
=–
x
2
-
–2x+
3
4
x+
1
4
x+x–
5
6
x=(–2x–
5
6
x
)
+(
3
4
x+
1
4
x+x
)
=
–12x–5x
6
+
3x+x+4x
4
=–
17x
6
+2x=
–17x+12x
6
=–
5x
6
-
7
a
x
–30a
x
–41a
x
–9a
x
+73a
x
=(–30a
x
–41a
x
–9a
x
)
+(7a
x
+73a
x
)
=–80a
x
+80a
x
=0 -
–
a
x+1
+7a
x+1
–11a
x+1
–20a
x+1
+26a
x+1
=(–a
x+1
–11a
x+1
–20a
x+1
)
+(7a
x+1
+26a
x+1
)
=–32a
x+1
+33a
x+1
=a
x+1
-
a+6a–20a+150a–80a+31a=(
–20a–80a
)
+(a+6a+150a+31a
)
=–100a+188a=88a -
–9b–11b–17b–81b–b+110b=(
–9b–11b–17b–81b–b
)
+110b=–119b+110b=–9b -
–
a
2
b+15
a
2
b+
a
2
b–85
a
2
b–131
a
2
b+39
a
2
b=(–
a
2
b–85
a
2
b–131
a
2
b
)
+(15
a
2
b+
a
2
b+39
a
2
b
)
=–217
a
2
b+55
a
2
b=–162
a
2
b -
84
m
2
x–501m
2
x–604m
2
x–715m
2
x+231m
2
x+165m
2
x=(–501m
2
x–604m
2
x–715m
2
x
)
+(84m
2
x+231m
2
x+165m
2
x
)
=–1820m
2
x+480m
2
x=–1340m
2
x -
5
6
a
3
b
2
+
2
3
a
3
b
2
–
1
4
a
3
b
2
–
5
8
a
3
b
2
+4a
3
b
2
=(–
1
4
a
3
b
2
–
5
8
a
3
b
2
)
+(
5
6
a
3
b
2
+
2
3
a
3
b
2
+4a
3
b
2
)
=
–7
a
3
b
2
8
+
33
a
3
b
2
6
=
–21
a
3
b
2
+132a
3
b
2
24
=
37
a
3
b
2
8
-
40a–81a+130a+41a–83a–91a+16a=(
–81a–83a–91a
)
+(40a+130a+41a+16a
)
=–255a+227a=–28a -
–21ab+52ab–60ab+84ab–31ab–ab–23ab=(
–21ab–60ab–31ab–ab–23ab
)
+(52ab+84ab
)
=–
136ab
+
136ab
=0