Hitunglah hasil operasi aljabar berikut :

Jawaban:

a. 3s + 8t -1

b. 45m² + 3mn + 7m

c. 20x² + 91y² – 93xy + 4x – 13y

d. 18m² – 96n² + 4mn + 12m + 24n – 11

Penjelasan dengan langkah-langkah:

a. 4s + t – 3 – s + 7t + 2

= 4s – s + t + 7t – 3 + 2

= 3s + 8t – 1

b. 3m(15m – n + 4) + 6mn – 5m

= 45m² – 3mn + 12m + 6mn – 5m

= 45m² – 3mn + 6mn + 12m – 5m

= 45m² + 3mn + 7m

c. (4x – 13y)(5x – 7y + 1)

= 20x² – 28xy + 4x – 65xy + 91y² – 13y

= 20x² + 91y² – 28xy – 65xy + 4x – 13y

= 20x² + 91y² – 93xy + 4x – 13y

d. (6m + 12n – 10)(2 + 3m – 8n) + 16mn – 11

= 12m + 18m² – 48mn + 24n + 36mn – 96n² + 16mn – 11

= 18m² – 96n² – 48mn + 36mn + 16mn + 12m + 24n – 11

= 18m² – 96n² + 4mn + 12m + 24n – 11