Question

Jabarkan menjadi bentuk eksponen, :
1. ( x + 1/x)^3 = ....
2. (ax - by)^3 = ....
3. (a+b+2c)^2 = ....
4. (a-b)^ 3 = ....

Kalau bisa caranya juga ya :d makasih.

Answer 1

1. ( x + 1/x)³= x³ + 3x²(1/x) + 3x(1/x)² + (1/x)³ = x³ + 3x + 3/x + 1/x³
2. (ax - by)³ = (ax)³ + 3(ax)²(-by) + 3(ax)(-by)² + (-by)³
                 = a³x³ - 3a²bx²y + 3ab²xy² - b³y³
3. (a+b+2c) = (a + b + 2c)(a + b + 2c)
                  = a² + ab + 2ac + ab + b² + 2bc + 2ac + 2bc + 4c²
                  = a² + 2ab + 2bc + 2ac + b² + 4c²
4. (a-b)³ = a³ + 3a²(-b) + 3a(-b)² + (-b)³ = a³ - 3a²b + 3ab² - b³