Tentukan nilai |ab|, |a||b|, |a+b|, |a|+|b|, |a^2-b^2| jika

|ab|=4, |a||b|=4, |a+b|=5, |a|+|b|=5, |a^2-b^2|=15

Pembahasan

Diketahui a = 4 dan b = 1.

Kita akan menghitung nilai dari |ab|, |a||b|, |a+b|, |a|+|b|, dan |a^2-b^2|.

1. |ab|:
   ab = 4 * 1 = 4
   |ab| = |4| = 4

2. |a||b|:
   |a| = |4| = 4
   |b| = |1| = 1
   |a||b| = 4 * 1 = 4

3. |a+b|:
   a+b = 4 + 1 = 5
   |a+b| = |5| = 5

4. |a|+|b|:
   |a| = |4| = 4
   |b| = |1| = 1
   |a|+|b| = 4 + 1 = 5

5. |a^2-b^2|:
   a^2 = 4^2 = 16
   b^2 = 1^2 = 1
   a^2 - b^2 = 16 - 1 = 15
   |a^2-b^2| = |15| = 15

Hasilnya adalah: |ab| = 4, |a||b| = 4, |a+b| = 5, |a|+|b| = 5, |a^2-b^2| = 15.