360*n^2 + 1440*n + 1560

factorize

asked by guest
on Jan 28, 2025 at 7:05 pm



You asked:

Factor the expression: 360n2+1440n+1560\displaystyle 360 {n}^{2} + 1440 n + 1560

MathBot Answer:

Factorization over the rational numbers:

120(3n2+12n+13)120 \cdot \left(3 n^{2} + 12 n + 13\right)

Factorization over the complex numbers:

360(n+(23i3))(n+(2+3i3))360 \left(n + \left(2 - \frac{\sqrt{3} i}{3}\right)\right) \left(n + \left(2 + \frac{\sqrt{3} i}{3}\right)\right)


ii is the imaginary unit, defined as i2=1i^2 = -1.