Page 224 - 8. Sınıf Matematik Defterim

ÇÖZÜMLER

25. ETKİNLİK
a. 3 (5a-1) h. (a + b)1
2
25 - m 2 36x - 1
b. 5x(x + 4) i. (b - a)(2x - 2)
2
c. b(4b - 3) j. 2x(3x + 4x - 5)
d. 4(3x + 2y) k. 5(a + 2b + 4c)
5 - m 5 + m 6x - 1 6x + 1
2
e. xy (x + y) l. b(b + 3b + 7)
f. x (8) m. 3(a + 9b - 3c + 27d)
g. 2ax
2
2
9 m - 4n 49 - 9a 2
26. ETKİNLİK
3m + 2n 3m - 2n 7 + 3a 7 - 3a 1. 2x + 3y 3. 2x + 4y + 5
2. 3x + y = 4 4. 3x - 5y = 6
2
2
400 x - 1 m - 16 n 2
27. ETKİNLİK
1. Örtünün alanı = (2x + 20 - 10) (x + 9 - 4)
20x - 1 20x + 1 m + 4n m - 4n
= (2x + 10) . (x + 5)
2
22. ETKİNLİK = 2x + 10x + 10x + 50
2
2
2
2
2
a. (x + 1) - x d. (5a) - 4a = 2x +20x + 50
. .
.
2
2
2
b. 5 - m e. (5y + 3) - (2y + 1) 2 2. Kalan alan = 8x 4x - 2 y 2y
2
2
2
2
2
2
c. (4m + 1) - (2m) f. (4k - 1) - 4k = 32x - 4y
2
2
= 4 (8x - y )
.
.
2
3. Kalan alan = 4y 4y - p (2x)
.
2
2
23. ETKİNLİK = 16y - 3 4x
2
2
2
2
a. (4a) - (3b) = (4a - 3b) (4a + 3b) = 4(4y - 3x )
2
2
b. (5x) - (6y) = (5x - ñ6y) (5x + ñ6y)
2
2
c. (8y) - 25x = (8y - 5x) (8y + 5x)
2
2
d. 64x - 27p = 64x - 81 = (8x - 9)(8x + 9)
28. ETKİNLİK
a. (36 + 34) (36 - 34) = 70 . 2
24. ETKİNLİK b. (2002 - 1998) (2002 + 1998) = 4 . 4000
c. (360 - 140) (360 + 140) = 220 . 500
2
a. (2x + 1) (x + 2) = 2x + 4x + x + 2 d. (55 - 45) (55 + 45) = 10 . 100
2
= 2x + 5x + 2 e. (199 - 1) (199 + 1) = 198 . 200
f. (1005 - 995) (1005 + 995) = 10 . 2000
2
b. (2x + 7) (x + 1) = 2x + 2x + 7x + 7 g. (400 - 200) (400 + 200) = 200 . 600
2
= 2x + 9x + 7 h. (2022 + 2021) (2022 - 2021) = 4043 . 1
i. (x + y - 1) (x + y + 1)
2
c. (2x + 3) (x + 3) = 2x + 6x + 3x + 9 j. [1 - (x - y)] [1 + (x - y)]
2
= 2x + 9x + 9 k. [x - y - (x + y)] (x - y + x + y) = -2y . 2x = -4xy
l. (a + b + 2) . (a + b - 2)
2
d. (2x + 5) (x + 1) = 2x + 2x + 5x + 5 m. [5 - (a + b)] [5 + (a + b)]
2
= 2x + 7x + 5 n. (a + b - a) (a + b + a) = (b) (2a + b)
2
e. 8x + 30x + 23
f. (x + 5) (2x + 1 + 2x + 5+ 2x + 3 + 2x + 7) 29. ETKİNLİK
.
2
2
a. x - y = (x - y) (x + y)
2
2
2
(x + 5) (8x + 16) = 8x + 16x + 40x + 80 b. (3a) - (2b) = (3a - 2b) (3a + 2b)
2
2
2
= 8x + 56x + 80 c. (5y) - 4x = (5y - 2x) (5y + 2x)
2
2
d. (6a) - (4b) = (6a - 4b) (6a + 4b)
8. Sınıf Matematik 223