Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers.Factor this expression completely, then place the factors in the proper location on the grid. X^3 +1/8

Answer 1

The expression can be factorised as,

`x^3+(1)/(8)=x^3+((1)/(2))^3`

We know the identity for cubes given as,

`x^3+y^3=(x+y)(x^2-xy+y^2)_{}`

Using this identity in the previous equation, the factorised form of the given expression is

`x^3+((1)/(2))^3=(x+(1)/(2))(x^2-(1)/(2)x+(1)/(4))`