Sederhanakan 24x²+20x-24/18x²-8

24x^2 + 20x - 24 / 18x^2 - 8 = { bagi2}
12x^2 + 10x - 12 / 9x^2 - 4 =
(3x - 2)(4x+6) / (3x-2)(3x+2) = { 3x-2 dicoret}
4x + 6 / 3x + 2 =
2(2x + 3) / 3x + 2

#semoga membantu....

Mapel : Matematika
Kelas : VII SMP
Bab : Pemfamtoran

Pembahasan :
(24x² + 20x - 24)/(18x² - 8)

Sifat distributif aljabar
= 2[12x² + 10x - 12]/2[9x² - 4]

»» Coret 2 ««
= (12x² + 10x - 12)/(9x² - 4)
= [2(6x² + 5x - 6)]/[3²x² - 2²]
= [2(6x² + 9x - 4x - 6)]/[(3x)² - 2²]
= [2{3x(2x + 3) - 2(2x + 3)]/[(3x + 2)(3x - 2)]
= [2(3x - 2)(2x + 3)]/[(3x + 2)(3x - 2)]

»» Coret 3x - 2 ««
= 2(2x + 3)/(3x + 2)
= (4x + 6)/(3x + 2)