Page 40 - Hybrid PBD 2021 Form 2 - Matematik
P. 40
Matematik Tingkatan 2 Bab 2
2. Kembangkan setiap yang berikut. SP 2.1.2 TP2
Expand each of the following.
(a) 7(4 + 5a) (b) 4p(p – 3q)
5m(7 – 2n) = 28 + 35a = 4p – 12pq
2
= 35m – 10mn
2
(c) –6s(r + 4) (d) –3(y – 7w + 3) (e) – x(10y – 15z + 20)
= –6rs – 24s = –3y + 21w – 9 5
= –4xy + 6xz – 8x
3. Kembangkan setiap yang berikut. SP 2.1.2 TP2
Expand each of the following. Tip Penting
(a + b)(x + y) = a(x + y) + b(x + y)
= ax + ay + bx + by
(a) (a – 2b)(11 – b) (b) (k – l)(k + 2l)
(x + 1)(x + 5) = a(11 – b) – 2b(11 – b) = k(k + 2l) – l(k + 2l)
= x(x + 5) + 1(x + 5) = 11a – ab – 22b + 2b 2 = k + 2kl – kl – 2l 2
2
= x + 5x + x + 5 = k + kl – 2l
2
2
2
= x + 6x + 5
2
(c) (5 + 6e)(7f – e) (d) (3 + 2y)(1 + y) (e) (6q – 1)(4q – 3)
= 5(7f – e) + 6e(7f – e) = 3(1 + y) + 2y(1 + y) = 6q(4q – 3) – 1(4q – 3)
2
= 35f – 5e + 42ef – 6e 2 = 3 + 3y + 2y + 2y 2 = 24q – 18q – 4q + 3
= 3 + 5y + 2y 2 = 24q – 22q + 3
2
(f) (4a + 5b)(a – 2b) (g) (–7h + 3)(h – 5) (h) (9p + 6)(7 – 4p)
= 4a(a – 2b) + 5b(a – 2b) = –7h(h – 5) + 3(h – 5) = 9p(7 – 4p) + 6(7 – 4p)
= 4a – 8ab + 5ab – 10b 2 = –7h + 35h + 3h – 15 = 63p – 36p + 42 – 24p
2
2
2
= 4a – 3ab – 10b 2 = –7h + 38h – 15 = 39p – 36p + 42
2
2
2
(i) (4p – q)(p + q) (j) (2r + 2s)(3r + s) (k) (12 – 3t)(3u + t)
= 4p(p + q) – q(p + q) = 2r(3r + s) + 2s(3r + s) = 12(3u + t) – 3t(3u + t)
= 4p + 4pq – pq – q 2 = 6r + 2rs + 6rs + 2s 2 = 36u + 12t – 9ut – 3t
2
2
2
= 4p + 3pq – q 2 = 6r + 8rs + 2s 2
2
2
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Bab 2.indd 13 9/3/21 5:13 PM
