Diketahui P = 2x – 3y + 6 dan Q = 4x + 2y – 1.
Tentukan operasi bentuk aljabar berikut.
a. P+Q
b. P-Q
C. Q + P
d. Q-P
4.
a). P + Q
= (2x – 3y + 6) + (4x + 2y – 1)
= 2x – 3y + 6 + 4x + 2y – 1
= 2x + 4x – 3y + 2y + 6 – 1
= 6x – y + 5
b). P – Q
= (2x – 3y + 6) – (4x + 2y – 1)
= 2x – 3y + 6 – 4x – 2y + 1
= 2x – 4x – 3y – 2y + 6 + 1
= -2x – 5y + 7
c). Q + P = P + Q = 6x – y + 5
d). Q – P
= (4x + 2y – 1) – (2x – 3y + 6)
= 4x + 2y – 1 – 2x + 3y – 6
= 4x – 2x + 2y + 3y – 1 – 6
= 2x + 5y – 7