Question

Jabarkan perkalian2 aljabar berikut :

1. 4 (c + d) + 3 (3c + 2d)
2. (3a - 4c) (3a - 8c)
3. m (m - 5) - 5 (m - 5)
4. (6w - y) (yw + 3)
5. (3p + 2) (4p + 5)

Answer 1

1. 4(c+d) + 3(3c+2d) = 4c + 4d + 9c + 6d
= 13c + 10d.
2. (3a - 4c) (3a - 8c) = 3a(-4c-8c)
= -12ac - 24ac
= -36ac
3. m(m-5)- 5(m-5) = (m^2 - 5m)-(5m+25)
= m^2 -5m -5m - 25
= m^2 -10m - 25
4. (6w - y) (yw + 3) = 6w(yw +3) -y(yw+3)
= 6yw^2 +18 -y^2w -3y
5. (3p + 2) (4p + 5) = 3p(4p +5) +2(4p+5)
= 12p^2 + 15p + 8p +10
= 12p^2 + 23p +10