Question

Write the algebraic expression ' The product of three consecutive odd integers, out of which the middle one is $x$'.

Answer 1

Given that the middle term is $x$.

1st odd integer $=(x-2)$

3rd odd integer $=(x+2)$

So, product of the three odd integers $$\begin{gathered} =x\times (x-2)\times (x+2) \\ =x(x-2)(x+2) \end{gathered}$$

Thus,the algebraic expression is $x(x-2)(x+2)$.