c. a/b – (1 - a)/(1 - b) / 1 – b(1 - a)/a(1 - b)
Jawab:
a. 5/(x+3) + 7/(x-3)(x+3) =
= 5(x - 3) + 7/(x - 3)(x + 3)
= 5x - 15 + 7 / x² + 3x - 3x - 9
= (5x - 8) / (x² - 9)
b. 6/(x-2)(x+2) + 8/(x-2) =
= 6 + 8(x + 2) / (x - 2)(x + 2)
= 6 + 8x + 16 / x² + 2x - 2x + 4
= (8x + 22) / (x² - 4)
c. a/b - (1-a)/1-b)/1 -a(1-a)/a(1-b) = a/b
Soal nomor 4
Nyatakan keliling dan luas bangun berikut dalam bentuk aljabar!
Jawab:
a. K = x + x + (x - y) + y + y + (x - y) = 4x
L = (x . x) – (y . y) = x² – y²
b. K = 3z + 2z + y + 3z + y = 2y + 8z
L = (y x 3z) – (z x z) = 3yz – z²
c. K = 3a + 3b + 3a + 3b
K = 6a + 6b
L = (3a x 3b) – (a x b) – (a x b) – (a x b)
= 9ab – 3ab
= 6ab