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8/19/2019 Media Virtual Puzzle Aljabar
1/19
E
ALJABAR by:
Diyah Istiqomah K1313017Ekshan Rahmad W. K1313018
Fathina Rossy A. K1313022
Fauan !hidiq R. K1313023
F"b#iana Diah A. K131302$
8/19/2019 Media Virtual Puzzle Aljabar
2/19
A%"#s"%si
2x+5
ko"&isi"n
'a#iab"(
konstanta
OperasiAljabarx+x =
x+y =x.x =
x.y =
2xx+
yx²
xy
8/19/2019 Media Virtual Puzzle Aljabar
3/19
ss
pl
a
b
t
ss
s
t
l
p
Luas = s x s= s²
Luas = p x l= pl
Volume = p x l x t= plt
Luas = (a+b)x t/2
Volume = s x s xs= s 3
ss
p
l
Luas ???
I
II
Luas = Luas I +Luas II = (s x s) +(p x l) = s² + pl
)uas dan *o(um"
8/19/2019 Media Virtual Puzzle Aljabar
4/19
+u(" 1
Luas = p x p =
Luas = p x q = pq
p p
pq
q p
q
q
Luas = p x q = pq
Luas = q x q =
8/19/2019 Media Virtual Puzzle Aljabar
5/19
+u(" 1
(p+q)
(p+q)
Luas = p x p =
Luas = p x q = pq
p p
pq
q p
q
q
Luas = p x q = pq
Luas = q x q =
,
Luas = + 2 pq +=
+ 2 pq +
Luas = (p+q) x (p+q) =
8/19/2019 Media Virtual Puzzle Aljabar
6/19
+u(" 2
b
a
( a-b )
b
a
( a-b )
8/19/2019 Media Virtual Puzzle Aljabar
7/19
+u(" 2
b
a
( a-b )
Luas = (a+b)
(a-b)
b
a
( a-b )
( a-b )
(a+b)
8/19/2019 Media Virtual Puzzle Aljabar
8/19
+u(" 2
b
a
(a-b)
Luas = (a+b)(a-b)
b
a
( a-b)
(a-b)
(a+b)
(a+b)(a-b)
b
a
b
a
Luas
8/19/2019 Media Virtual Puzzle Aljabar
9/19
Volume = a x a x a =
Volume = a x a x b =
Volume = a x b x b =
Volume = b x b x b =
u(" 3
a
a
a
a
a
b
a
b
b
bb
b
8/19/2019 Media Virtual Puzzle Aljabar
10/19
Volume = a x a x a =
Volume = a x b x b =
Volume = a x b x b =
Volume = a x a x b =
Volume = a x a x b =
Volume = a x b x b =
Volume = b x b x b =
Volume = a x a x b =
a
a
a
b
a
b
b
b
b
b
u(" 3
a
a
a
Volume = a x a x b =
Volume = a x b x b =
Volume = b x b x b =
8/19/2019 Media Virtual Puzzle Aljabar
11/19
a
a
a
a
a
b
a
b
b
bb
b
u(" 3
(a + b)
(a + b
(a + b)
Volume = (a+b)x(a+b)x ( =
Volume= + 3 + 3 +
Volume = a x a x a =
,
= + 3 + 3+
Volume = a x a x b =
Volume = a x b x b =
Volume = a x b x b =
Volume = a x a x b =
Volume = a x b x b =
Volume = b x b x b =
Volume = a x a x b =
2
8/19/2019 Media Virtual Puzzle Aljabar
12/19
( ) ( ) ( ) 222 2 q pq pq pq pq p ++=+×+=+
( ) ( ) 22 q pq pq p −=−×+
( ) 32233 33 q pqq p pq p +++=+
( ) ( ) =−×+
q pq p
2
p pq−
pq+
2
q−
=22
q p −
( ) =+ 3q p ( ) 2q p + ( )q p +×
= ( )22 2 q pq p ++ ( )q p +×
=3
p q p2
2+ 3
q+2
pq+ q p2
+ 22 pq+
=3223
33 q pqq p p +++
( ) ( ) =+×+ q pq p 2 p pq+ pq+ 2q+
=22 2 q pq p ++
Lalu bagaimanadengan ??( ) 4
q p +
8/19/2019 Media Virtual Puzzle Aljabar
13/19
=( )1q p + p q+
=( ) 2q p + 2 p pq2+ 2q+
=( ) 3q p + 3 p q p 23+ 23 pq+ 3q+
...
... q++=( ) ...q p + ... p
10
q p+=( )1
q p + 01
q p
=( ) 2
q p + 2
p 11
2 q p+ 20
q p+0
q
30
q p+=
( )3
q p +
03
q p
123
q p+
213
q p+
4 4 45 5 5n n nnq++ ...=( ) nq p + n p
MENENTUKAN PANGKAT
8/19/2019 Media Virtual Puzzle Aljabar
14/19
=( )1q p + p q+
=( ) 2q p + 2 p pq2+ 2q+
=( ) 3q p + 3 p q p 23+ 23 pq+ 3q+
-1 +1
-1 +1 -1 +1
-1 +1 -1 +1 -1 +1
+an-kat % b"#ku#an- 1
+an-kat q b"#tambah 1
10q p+=( )1q p + 01q p
=( ) 2q p + 2 p 112 q p+ 20q p+0q
30q p+=( ) 3q p + 03q p 123 q p+ 213 q p+
MENENTUKAN PANGKAT
8/19/2019 Media Virtual Puzzle Aljabar
15/19
=( )4
q p + ......
... q p......
... q p+ ......
... q p+ ......
... q p+ ......
... q p+4 3 2 1 0
1 1 1 1
0 1 2 3 4
,1 ,1 ,1 ,1
=( ) 4q p + 04... q p 13... q p+ 22... q p+ 31... q p+ 40... q p+
MENENTUKAN PANGKAT
8/19/2019 Media Virtual Puzzle Aljabar
16/19
1
11
121
1 133
=( ) 0q p + 1
=( )1q p + p q+
=( ) 2q p + 2 p pq2+ 2q+
=( ) 3q p + 3 p q p 23+ 23 pq+ 3q+
!"-iti-a +as/a(
MENENTUKAN KOEFISIEN
8/19/2019 Media Virtual Puzzle Aljabar
17/19
8/19/2019 Media Virtual Puzzle Aljabar
18/19
!EKARA 4A ARI
( )5q p +
8/19/2019 Media Virtual Puzzle Aljabar
19/19
Sekian
dan
Terima Kasih
@2015
