x3*x2 = x5 Same base so just add the powers
No, it's a cubic equation. A quadratic equation contains, as its term raised to the highest power, a square. Example: x2. A cubic equation contains, as its term raised to the highest power, a cube. Example: x3. A quartic equation contains, as its term raised to the highest power, a term raised to the fourth power. Example: x4. Quintic, x5. And so, on.
2x2-y2
(x + y)3 + (x - y)3 = (x3 + 3x2y + 3xy2 + y3) + (x3 - 3x2y + 3xy2 - y3) = 2x3 + 6xy2 = 2x*(x2 + 3y2)
x3 6x2-x-30
x3*x2 = x5 Same base so just add the powers
No, it's a cubic equation. A quadratic equation contains, as its term raised to the highest power, a square. Example: x2. A cubic equation contains, as its term raised to the highest power, a cube. Example: x3. A quartic equation contains, as its term raised to the highest power, a term raised to the fourth power. Example: x4. Quintic, x5. And so, on.
2x2-y2
(x + y)3 + (x - y)3 = (x3 + 3x2y + 3xy2 + y3) + (x3 - 3x2y + 3xy2 - y3) = 2x3 + 6xy2 = 2x*(x2 + 3y2)
It depends on whether the number being raised to the power is greater than or less than 1. If x < 1 then x3 < x2 If x > 1 then x3 > x2 with equality at x = 1
x3 6x2-x-30
ex = x3 This has two solutions: x = 4.5364... and x = 1.85718... Plot the graph of each and you can see the intersections.
That's the same as x3 times x3 which equals x6
x4+6x3-2x-12 (x3-2)(x+6)
X(X2 - X)
It's x14/4 = x3.5 Interestingly, that result shows that it could be computed as (x3) x sqrt(x) .
x3 + 4x2 + 6x + 24 = (x2 + 6)(x + 4)