Question
If a³ + b³ = 28 and a + b = 4, then what is the value of ab?
The correct answer is
3
Using the identity (a³ + b³) = (a + b)(a² - ab + b²), we substitute the known values and solve for ab, getting ab = 3.
Was this answer helpful?
Important Questions from Algebric Equations
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
Simplify the following expression:
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
Need Expert Advice?
