Question

TUGAS MATEMATIKA

3. Tentukan KPK dan FPB

a. 15ab^(3)b^(2) dan 18ab^(4)
b. 9Xy^(2) dan 5X^(2)y

4. Hitunglah

a. (3a + 4) (a - 2)
b. (2a + 5) (3a + 3)

5. Tentukan penyelesaian dari

A. a + 6 = 10
B. 2a + 4 = 14
C. 4a - 5 = 23
D. 5/6a = 10
e. 4x + 4 = 3x + 10
f. 5a - 2 = 3a + 12

TOLONG DIJAWAB BESERTA CARANYA YA. TERIMAKASIH :)

Answer 1

4 a. 3a kuadrat - 6a + 4a - 8
= 3a kuadrat - 2a - 8
b. 6a kuadrat +6a + 15a + 15
= 6a kuadrat + 21a + 15

5. a) a = 10-6= 4
b) 2a + 4= 14
= 2a= 14-4= 10
= a = 10/2 = 5
c) 4a-5= 23
4a= 23+5
4a=28
a= 28/4=7
d) 6a= 10/5 =2
a= 6/2=3
e) 4x-3x=-4+10
x. = 6
f) 5a-3a=2+12
2a=24
a=24/2=12
a=12

Answer 2

1) a.4 b.4 c.1 d.4 e.1

2)
a. 6a² - 3ab - 2b² - 5a² + 2ab + b²
= 6a² - 5a² - 3ab + 2ab + 2b² + b²
= a² - ab + 3b²

b. 7a² - 2ab + 2b² - 5a² + 4ab + 5b²
= 7a² - 5a² - 2ab + 4ab + 2b² + 5b²
= 2a² + 2ab + 7b²

c. 4a² + 2ab + 2b² - 5a² + 7ab + b²
= 4a² - 5a² + 2ab + 7ab + 2b² + b²
= -a² + 9ab + 3b²

3)
a. KPK : ab FPB : 3ab²
b. KPK : xy FPB : xy

4)
a. (3a + 4) (a-2)
= 3a.a + 3a.-2 + 4.a + 4.-2
= 3a² - 6a + 4a - 8
= 3a² - 2a - 8

b. (2a+5) (3a+3)
= 2a.3a + 2a.3 + 5.3a + 5.3
= 6a² + 6a + 15a + 15
= 6a² + 21a + 15

5)
a. a + 6 = 10
=> a = 10 - 6 = 4

b. 2a + 4 = 14
=> 2a = 14 - 4
=> 2a = 10
=> a = 10/2 = 5

c. 4a - 5 = 23
=> 4a = 23 + 5
=> 4a = 28
=> a = 28/4 = 7

d. 5/6a = 10
=> 6a = 10/5 = 2
=> a = 2/6 = 1/3

e. 4x + 4 = 3x + 10
=> 4x - 3x = 10 - 4
=> x = 6

f. 5a - 2 = 3a + 12
=> 5a - 3a = 12 + 2
=> 2a = 14
=> a = 14/2 = 7

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