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Jabarkan. (x + 1/2) (x – 2), (7b + a) (a – 7b), (x + 2y – 9)^2, (a – b + 1) (a + b – 1)

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Jabarkan.
1. (x + 1/2) (x – 2).
2. (7b + a) (a – 7b).
3. (x + 2y – 9)2.
4. (a – b + 1) (a + b – 1)

(x + 1/2) (x – 2)
x2 – 2x + 1/2 x – 1
x2 – 3/2 x – 1

Jadi, (x + 1/2) (x – 2) = x2 – 3/2 x – 1.


(7b + a) (a – 7b)
7ab – 49b2 + a2 – 7ab
a2 – 49b2

Jadi, (7b + a) (a – 7b) = a2 – 49b2.


Misalkan M = x + 2y.
(x + 2y – 9)2
(M – 9)2
(M – 9) (M – 9)
M2 – 18M + 81
(x + 2y)2 – 18(x + 2y) + 81
x2 + 4xy + 4y2 – 18x – 36y + 81

Jadi, (x + 2y – 9)2 = x2 + 4xy + 4y2 – 18x – 36y + 81.


(a – b + 1) (a + b – 1)
a2 + ab – a – ab – b2 + b + a + b – 1
a2 – b2 + 2b – 1.

Jadi, (a – b + 1) (a + b – 1) = a2 – b2 + 2b – 1.

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