Question

Sederhanakan pemjumlahan dan pengurangan pecahan aljabar berikut.
A. 3/p + q/2
B. 3x/y + x^2 + x/xy
C. p - 3 / 12 + p / 3
D. 4a / b + 2a^2 + a / ab
E. X + y / x + x - y / y
F.7b / 10 - 3b / 10
G.12x / y - 9x / y
H. 2x / y - 4xy - 2 / 9y^2
I. 2p - 3 / 6q - q + 4 / 9p
J. 4m + 3 / 3mn - 5m - 12 /12n

Arti:
^ adalah pangkat
/ adalah per

Answer 1

A) 3/p + q/2
= 6/2p + pq/2p
= (6 + pq)/2p
b) 3x/y + x² + x/xy
= (3x² + x³y + x)/xy
= x(3x + x²y + 1)/xy
=( 3x + x²y + 1)/y
c) (p - 3)/12 + p/3
= (p -3)/12 + 4p/12
=( p - 3 + 4p)/12
= (5p - 3)/12
d) 4a/b + 2a² + a/ab
= 4a²/ab + 2a³b/ab + a/ab
=(4a² + 2a³b + a)/ab
= a(4a + 2a²b + 1)/ab
= (4a + 2a²b + 1)/b
e) (x + y)/x + (x - y)/y
= y(x + y)/xy + x(x - y)/xy
= (xy + y² + x² - xy)/xy
= (x² + y²)/xy
f) 7b/10 - 3b/10
= (7b - 3b)/10
= 4b/10
=2b/5
g) 12x/y - 9x/y
= (12x - 9x)/y
= 3x/y
h) 2x/y - 4xy - 2/9y²
= 18x²y/9xy² - 36x²y³/9xy² - 2x/9y²
=(18x²y - 36x²y³ - 2x)/9xy²
= x(18xy - 36xy³ - 2)/9xy²
=(18xy - 36xy³ - 2)/9y²
i) (2p - 3) / 6q - (q + 4)/9p
= 3p(2p - 3)/18pq - 2q(q + 4)/18pq
= (6p² - 9p) - (2q² + 8q)/18pq