jika a.b=4 dan a^2 + b^2 =40. maka a^2 - b ^2 adalah

Mapel Matematika
Bab Aljabar

ab = 4

a^2 + b^2 = 40
(a - b)^2 + 2ab = 40
(a - b)^2 + 2(4) = 40
(a - b)^2 = 32
(a - b) = ✓32

a^2 + b^2 = 40
(a + b)^2 - 2ab = 40
(a + b)^2 - 2(4) = 40
(a + b)^2 = 48
(a + b) = ✓48

a^2 - b^2
= (a + b)(a - b)
= (✓48)(✓32)
= ✓1536
= ✓256 x ✓6
= 16✓6