Ejercicio 15 – Solucionario Baldor

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DESCARGA

CAPITULO I

Suma

Ejercicio 15

Para solocionar este conjunto de problemas tenemos que espresar los monomios a continuación como una suma algebraica

Sumar

m, n

m+n
m, -n

m+(
–n

)
=m–n
-3a, 4b

–3a+4b
5b, -6a

5b+(
–6a

)
=5b–6a
7, -6

7+(
–6

)
=7–6=1
-6, 9

–6+9=3
-2x, 3y

–2x+3y
5mn, -m

5mn+(
–m

)
=5mn–m
5a, 7a

5a+7a=12a
-8x, -5x

–8x+(
–5x

)
=–8x–5x=–13x
-11m, 8m

–11m+8m=–3m
9ab, -15ab

9ab+(
–15ab

)
=9ab–15ab=–6ab
-xy, -9xy

–xy+(
–9xy

)
=–xy–9xy=–10xy
mn, -11mn

mn+(
–11mn

)
=mn–11mn=–10mn
1

2

a,–

2

3

b

1

2

a+(
–

2

3

b

)
=

1

2

a–

2

3

b
3

5

b,

3

4

c

3

5

b+

3

4

c
1

3

b,

2

3

b

1

3

b+

2

3

b=

b+2b

3

=

3
b

3

=b
–

1

2

xy,–

1

2

xy

–

1

2

xy+(
–

1

2

xy

)
=–

1

2

xy–

1

2

xy=

–xy–xy

2

=–

2
xy

2

=–xy
–

3

5

abc,–

2

4

abc

–

3

5

abc+(
–

2

4

abc

)
=–

3

5

abc–

2

4

abc=

–12abc–10abc

20

=–

abc

=–

11abc

5
–4

x

2

y,

3

8

x

2

y

–4

x

2

y+

3

8

x

2

y=

–32

x

2

y+3

x

2

y

8

=–

29

8

x

2

y
3

8

mn,–

3

4

mn

3

8

mn+(
–

3

4

mn

)
=

3

8

mn–

3

4

mn=

3mn–6mn

8

=–

3

8

mn
a, b, c

a+b+c
a, -b, c

a+(
–b

)
+c=a–b+c
a, -b, 2c

a+(
–b

)
+2c=a–b+2c
3m, -2n, 4p

3m+(
–2n

)
+4p=3m–2n+4p
$\begin{matrix} \end{matrix}$

a

2

,–7ab,–5

b

2

a

2

+(
–7ab

)
+(
–5

b

2

)
=

a

2

–7ab–5

b

2
$\begin{matrix} \end{matrix}$

x

2

,–3xy,–4

y

2

x

2

+(
–3xy

)
+(
–4

y

2

)
=

x

2

–3xy–4

y

2
$\begin{matrix} \end{matrix}$

x

3

,–

x

2

y,6

x

3

+(
–

x

2

y

)
+6
=

x

3

–

x

2

y+6
$\begin{matrix} \end{matrix}$

2a,–b,3a

2a+(
–b

)
+3a
=

2a–b+3a=5a–b
$\begin{matrix} \end{matrix}$

–m,–8n,4n

–m+(
–8n

)
+4n
=

–m–8n+4n=–m–4n
$\begin{matrix} \end{matrix}$

–7a,8a,–b

–7a,8a,–b

=

–7a+8a+(
–b

)
=–7a+8a–b=a–b
$\begin{matrix} \end{matrix}$

1

2

x,

2

3

y,–

3

4

x

1

2

x+

2

3

y+(
–

3

4

x

)
=

1

2

x+

2

3

y–

3

4

x

=

x–3x

4

+

2

3

y

=

–

4
x

4

+

2

3

y

=

–x+

2

3

y
$\begin{matrix} \end{matrix}$

–

3

5

m,–m,–

3

8

mn

–

3

5

m+(
–m

)
+(
–

3

8

mn

)
=

–

3

5

m–m–

3

8

mn

=

–3m–5m

5

–

3

8

mn

=

–

8

5

m–

3

8

mn
$\begin{matrix} \end{matrix}$

–

7

2

,5ab,3

b

2

,–

a

2

–

7

2

+5ab+3

b

2

+(
–

a

2

)
=

–

7

2

+5ab+3

b

2

–

a

2
$\begin{matrix} \end{matrix}$

–7m

n

2

,–5m,17m

n

2

,–4m

–7m

n

2

+(
–5m

)
+17m

n

2

+(
–4m

)
=

–7m

n

2

–5m+17m

n

2

–4m

=

10m

n

2

–9m
$\begin{matrix} \end{matrix}$

x

3

,–8

x

2

y,5,–7

x

3

,4

x

2

y

x

3

+(
–8

x

2

y

)
+5+(
–7

x

3

)
+4

x

2

y
=

x

3

–8

x

2

y+5–7

x

3

+4

x

2

y

=

–6

x

3

–4

x

2

y+5
$\begin{matrix} \end{matrix}$

5

x

2

,9xy,–6xy,7

y

2

,–

x

2

5

x

2

+9xy+(
–6xy

)
+7

y

2

+(
–

x

2

)
=

5

x

2

+9xy–6xy+7

y

2

–

x

2

=

4

x

2

+3xy+7

y

2
$\begin{matrix} \end{matrix}$

–8

a

2

b,5a

b

2

,–

a

2

b,–11a

b

2

,–7

b

3

–8

a

2

b+5a

b

2

+(
–

a

2

b

)
+(
–11a

b

2

)
+(
–7

b

3

)
=

–8

a

2

b+5a

b

2

–

a

2

b–11a

b

2

–7

b

3

=

–9

a

2

b–6a

b

2

–7

b

3
$\begin{matrix} \end{matrix}$

m

3

,–8

m

2

n,7m

n

2

,–

n

3

,7

m

2

n

m

3

+(
–8

m

2

n

)
+7m

n

2

+(
–

n

3

)
+7

m

2

n
=

m

3

–8

m

2

n+7m

n

2

–

n

3

+7

m

2

n

=

m

3

–

m

2

n+7m

n

2

–

n

3
$\begin{matrix} \end{matrix}$

1

2

a,

2

3

b,–

1

4

a,

1

5

b,–6

1

2

a+

2

3

b+(
–

1

4

a

)
+

1

5

b+(
–6

)
=

1

2

a+

2

3

b–

1

4

a+

1

5

b–6

=

2a–a

4

+

10b+3b

15

–6

=

a

4

+

13b

15

–6
$\begin{matrix} \end{matrix}$

a,–3b,–8c,4b,–a,8c

a+(
–3b

)
+(
–8c

)
+4b+(
–a

)
+8c
=

a
–3b–

8c

+4b–
a
+

8c

=

b
$\begin{matrix} \end{matrix}$

m

3

,–4

m

2

n,5

m

3

,–7m

n

2

,–4

m

2

n,–5

m

3

m

3

+(
–4

m

2

n

)
+5

m

3

+(
–7m

n

2

)
+(
–4

m

2

n

)
+(
–5

m

3

)
=

m

3

–4

m

2

n+5

m

3

–7m

n

2

–4

m

2

n–5

m

3

=

m

3

–8

m

2

n+

5

m

3

–7m

n

2

–

5

m

3

=

m

3

–8

m

2

n–7m

n

2
$\begin{matrix} \end{matrix}$

9x,–11y,–x,–6y,4z,–6z

9x+(
–11y

)
+(
–x

)
+(
–6y

)
+4z+(
–6z

)
=

9x–11y–x–6y+4z–6z

=

8x–17y–2z
$\begin{matrix} \end{matrix}$

6

a

2

,–7

b

2

,–11,–5ab,9

a

2

,–8

b

2

6

a

2

+(
–7

b

2

)
+(
–11

)
+(
–5ab

)
+9

a

2

+(
–8

b

2

)
=

6

a

2

–7

b

2

–11–5ab+9

a

2

–8

b

2

=

15

a

2

–5ab–15

b

2

–11
$\begin{matrix} \end{matrix}$

–

x

2

y

2

,–5x

y

3

,–4

y

4

,7x

y

3

,–8,

x

2

y

2

–

x

2

y

2

+(
–5x

y

3

)
+(
–4

y

4

)
+7x

y

3

+(
–8

)
+

x

2

y

2

=

–

x

2

y

2

–5x

y

3

–4

y

4

+7x

y

3

–8+

x

2

y

2

=

2x

y

3

–4

y

4

–8
$\begin{matrix} \end{matrix}$

3a,

1

2

b,–4,–b,–

1

2

a,6

3a+

1

2

b+(
–4

)
+(
–b

)
+(
–

1

2

a

)
+6
=

3a+

1

2

b–4–b–

1

2

a+6

=

6a–a

2

+

b–2b

2

+2

=

5a

2

–

b

2

+2
$\begin{matrix} \end{matrix}$

1

2

x

2

,

2

3

xy,

5

6

y

2

,–

1

3

xy,

3

4

x

2

,–

5

6

y

2

1

2

x

2

+

2

3

xy+

5

6

y

2

+(
–

1

3

xy

)
+

3

4

x

2

+(
–

5

6

y

2

)
=

1

2

x

2

+

2

3

xy+

5

6

y

2

–

1

3

xy+

3

4

x

2

–

5

6

y

2

=

2

x

2

+3

x

2

4

+

2xy–xy

3

=

5

x

2

4

+

xy

3
$\begin{matrix} \end{matrix}$

5

a

x

,–6

a

x+1

,8

a

x+2

,

a

x+1

,5

a

x+1

,–5

a

x

5

a

x

+(
–6

a

x+1

)
+8

a

x+2

+

a

x+1

+5

a

x+1

+(
–5

a

x

)
=

5

a

x

–

6

a

x+1

+8

a

x+2

+

a

x+1

+

5

a

x+1

–

5

a

x

=

8

a

x+2
$\begin{matrix} \end{matrix}$

3

4

x

2

,–

2

3

xy,

1

3

y

2

,–

1

3

xy,

x

2

,5

y

2

3

4

x

2

+(
–

2

3

xy

)
+

1

3

y

2

+(
–

1

3

xy

)
+

x

2

+5

y

2

=

3

4

x

2

–

2

3

xy+

1

3

y

2

–

1

3

xy+

x

2

+5

y

2

=

3

x

2

+4

x

2

4

+

–2xy–xy

3

+

y

2

+15

y

2

3

=

7

x

2

4

–

xy

3

+

16

y

2

3
$\begin{matrix} \end{matrix}$

3

4

a

2

b,

1

2

a

b

2

,–

1

4

a

2

b,

1

2

a

b

2

,

a

2

b,–

5

6

a

b

2

3

4

a

2

b+

1

2

a

b

2

+(
–

1

4

a

2

b

)
+

1

2

a

b

2

+

a

2

b+(
–

5

6

a

b

2

)
=

3

4

a

2

b+

1

2

a

b

2

–

1

4

a

2

b+

1

2

a

b

2

+

a

2

b–

5

6

a

b

2

=

3

a

2

b–

a

2

b+4

a

2

b

4

+

3a

b

2

+3a

b

2

–5a

b

2

6

=

a

2

b

+

a

b

2

6

=

3

a

2

b

2

+

a

b

2

6