Question

1.Kerjakanlah Bentuk Aljabar berikut ini!
a.2Pkuadrat ×(-5qr ×(-8pr)=
b.5(x-2y)+3(2x-y)=
c.2a-5-8a+4=
2.Sederhanakanlah bentuk pecahan berikut ini!
a.5/m + 4/mkuadrat=
b.3P/4 - 5P/6=
c.9/3p+6 - 4/2p-5=
d.8x/4x+5 + 4/2x-5=
e.4p/15 × 9/2p=
f.2q/5 : 4q/15=
g.(PkuadratQ/2Rpankat3)kuadrat : (4P/Qpangkat2R)=
3.Kerjakanlah ini
a.2/c - 2/d / 4/d + 3/c=

Answer 1

1) a. 2p² x (-5qr) x (-8pr) = 80p³qr²
   b. 5(x - 2y) + 3(2x - y) = 5x - 10y + 6x - 3y
                                    = 11x - 13y
  c. 2a - 8a - 5 + 4 = - 6a - 1

2) a. 5/m + 4/m² = 5m/m² + 4/m²
                     = (5m + 4)/m²
   b. 3p/4 - 5p/6 = 9p/12 - 10p/12
                       = - p/12
   c. 9/(3p + 6) - 4/(2p - 5)
       = [9(2p - 5) - 4(3p + 6)]/(6p² - 3p - 30)
       = (6p - 69)/(6p² - 3p - 30)
   d. 8x/(4x + 5) + 4/(2x - 5)
      = (16x² - 40x + 16x + 20)/(8x² - 10x - 25)
      = (16x² - 24x + 20)/(8x² - 10x - 25)
   e. 4p/15 x 9/2p = 36/30 = 6/5
   f. 2q/5 : 4q/15 = 2q/5 x 15/4q
                        = 3/2
   g. (p²q/2r³) : (4p/q²r)
       = p²q/2r³ x q²r/4p
       = pq³/8r²

3) (2/c - 2/d) / (4/d + 3/c)
    = (2(d - c))/cd / (4c + 3d)/cd
    = (2d - 2c)/(4c + 3d)