ungkapan algebra
DESCRIPTION
Ugkapan algebraTRANSCRIPT
Ungkapan Algebra
3 PPISMP RBT2
Ungkapan Algebra-Kembangan
Nota
3 PPISMP RBT2
Pendaraban Dua Ungkapan Linear
CONTOH: (a + b)(a – b) = a(a – b) + b(a – b)
= a(a) + a(-b) + b(a) + b(-b)
= a² - ab + ab - b²
= a² - b²
Cara lain: (a + b) (a – b)
a +
X a - a² + ab – ab
CONTOH: (x – y)(y – 2z) = x(y) + x(-2z) – y(y) – y(-2z)
= xy – 2xz – y ² + 2yz
(x – y)(x + 2y) = x(x) + x(2y) – y(x) – y (+2y)
= x² + 2xy – xy - 2y²
= x² + xy – 2y²
3 PPISMP RBT2
RUMUSAN
3 PPISMP RBT2
= 6x22 – 11xy + 4 y2
3 PPISMP RBT2
Ungkapan Algebra-Kembangan
Latihan Kerja kumpulan
(Lampiran 1)
No. Soalan
1
(4x - 2)(x - 3)
2
(2x + 3z)(x – z)
3
(x – y)(3z – 5)
4
(3a – 2)(a – b)
5
(6 – 12a)(2 + 4b)
3 PPISMP RBT2
Latihan Individiu
(Lampiran 2)
No Soalan
1 (a + c)(a – c)
2 (2a + 3b) ( a + b)
3 ( x – y) ( z + 6)
4 ( x – 2 )( x – 2)
5 ( x – 3y) ( 2x + y)
6 ( 3a + 2b) (3a + 2b)
7 (x + z ) ( 1 – y)
8 (3x + 2) ( 3x – 2)
9 ( a - 2b) ²
10 (a + b) ( a – 3b)
3 PPISMP RBT2
JAWAPAN
LATIHAN KERJA KUMPULAN
1. 4x² – 14x + 6
2. 2x² + 3z² + xz
3. 3xz – 5x- 3yz +5y
4. 3a² – 2a + 2b – 3ab
5. 12 + 24b – 24a – 48ab
LATIHAN INDIVIDU
1. a² – c²
2. 2a² + 3b + 5ab
3. 6x + 6y
4. X² - 4x + 4
5. 3x² – 3y² – 5xy
6. 9a² + 4b² + 12ab
7. X – yz – xy + 2
8. 9x² + 12x +4
9. a² + 4b² – 4ab
10.a² – b² – 2ab
3 PPISMP RBT2