t3 bab 6

UNGKAPAN

ALGEBRA

BAB 6

RECALL

12 x a =

27a x a =

33a x 2a =

42 x (–a) =

5–2 x 4a =

6–2a x (–3a) =

7p x (–q) =

82p x 4q =

9–p x 5q =

10 p x 3pq

=11 q x (– 3pq)

=12 –5pq x (–

2p)=

2a

7a2

6a2

–2a

–8a

6a2

–pq

8pq

–5pq

3p2q

–3pq2

10p2q

+

a(b+c) =

ab +ac x

x

3(k+5) =

3k + 15

xx

5(y – 5) =

5y – 25

xx

–

–3(k+5) =

– 3k –15

–5(y – 5) =

– 5y

+ 25

xx

xx1

3

2

4

KEMBANGAN l

Kembangkan :

+

(a+b)(c+d) = ac + ad

x x

(p+q)(p–5) =

p2–5p x

x

–

1

+ bc

+ bd x x

x

+pq

–5q x

(h–4)(k–2) =

hk –2h x

x2 x

– 4k

+8x

KEMBANGAN lI

Kembangkan :

+

(2x+3)(x –4) =

2x2

–8x x

x

–

3 x

+3x

–12 x

= 2x2–5x

–12

(3h–6)(2h –5) =

6h2

–15h

x

x4 x

–12h

+30x

= 6h2–27h

+30

KEMBANGAN lI

Kembangkan :

Masuk dalam kurungan

2x – 8 =

– 4

1

2

2

PEMFAKTORAN I

Faktorkan :

2x – 8

x

( x – 4)Duduk luar

!!

6x2 + 9x =

+ 3x

2

3

3x

2x2

(2x + 3)

6x2 + 9x x2x + 3

= a(b+c)

ab +

ac

12xy – 8y =

– 2y

3

4

4y

PEMFAKTORAN I

Faktorkan :

3xy

(3x – 2)

6x2 + 9x =

+ 3x

4

3

3x

2x2

(2x + 3)

6x2 + 9x x2x + 3

12xy – 8yy

– 2 3x

x2 – 16

1

= x2

PEMFAKTORAN Il

Faktorkan :

– 42

2

a2 – b2 = (a+b)

(a–b)

= (x+4)

(x–4 )

25 – m2

= 52

– m2

= (5+m)

(5–m )

9x2 – 16

3

=32

x2

PEMFAKTORAN Il

Faktorkan :

– 42

4

a2 – b2 = (a+b)

(a–b)

= (3x+4)

(3x–4 )

25 – 81m2

= 52

– 92m2

= (5+9m)

(5–9m )

=(3x)2

– 42 = 52

– (9m)2

x2 + 5x + 6

1

PEMFAKTORAN IlI

Faktorkan :

x

= (x+2)

(x+3 )

+x

23

x2

6 +5x

2x3x++

+

+

( ) ( )

D T B D B T

1 x 62 x 3

x +

ax2 + bx + c

x2 +4x –12

2

PEMFAKTORAN IlI

Faktorkan :

x

= (x+6)

(x–2 )

+x

62

x2

12 +4x

6x2x––

+

–

( ) ( )

D T B D B T

1 x 122 x 63 x 4

x +

ax2 + bx + c

2x2 +3x –20

3

PEMFAKTORAN IlI

Faktorkan :

2x

= (2x–5)

(x+4 )

–x

54

2x2

20 +3x

5x8x++

–

–

( ) ( )

D T B D B T

1 x 202 x 104 x 5

x +

ax2 + bx + c

ax +bx +ay +by

1

PEMFAKTORAN IV

Faktorkan :

= x

y(a+b)

+ (a+b)=

(a+b)(x+y)

3h +hk –6–2k

2

= h

2(3+k)

– (3+k)=

(3+k)(h–2)

ax +bx +ay +by = (a+b)(x+y)

1

PENAMBAHAN DAN PENOLAKAN PECAHAN

ALGEBRA

Permudahkan :

2

8y5

4x

8x2

8y5

8y5x2

v35

u43

uv12v9

uv12u20

uv12u20v9

x 2

x 2x 4u

x 3v

x 3v x 4u

1kk31k

( )

3


ALGEBRA

Permudahkan :

4

k31

1k2

1kk3k6

2m6n

mn23

nm6m9

2nm6

n2

2

nm6nm9

2

2 1kk3

1kk6

1kk31k5

x 3k

x 3k

x (k+1)

x (k+1)

x 3m

x 3m

x n

x n

5


ALGEBRA

Permudahkan :

2m62m

m21

2m6m3

2m62m

2m62mm3

2m62m2

2m31m

x 3m

x 3m

( )

1 1

2

1

PENDARABAN DAN PEMBAHAGIAN PECAHAN

ALGEBRA

Permudahkan :

2

c7b3

5a4

ab12

c35

x3zx

2yyz4

zxyz4 2yx3

3


ALGEBRA

Permudahkan :

4

vw3

wuv4

2uv4 2w3

wuv4

w3v

bab3

3a2a5

baa5

3a2b3

3a2a5

b3ba

5


ALGEBRA

Permudahkan :

22

2

2

2

kh1h

khkhh

khk

1hh

2

2

khkhh

1h

kh2

22

1h1h

khkh

khh 1hk

t3 bab 6

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