Question

the number (x-1),x and (x+1) are three successive integers. when they are multiplied together, the product of three is 120 times their sum.
Use this information to form an equation.,in terms of x, and show that it simplifies to x^3 - 361x=0

Answer 1

120(x + 1 + x - 1 + x) = (x - 1)(x + 1)(x)

120(3x) = x(x^2 - 1)

360x = x^3 - x

361x = x^3

∴ x^3 - 361x = 0