Question

Write the expanded form of the expression.
-1/2 (y - x) = ?

Answer 1

The expanded form of the expression
`-(1)/(2)(y-x)` is
`\mathbf{-(1)/(2)(y)+(1)/(2)(x)}`

Explanation:

We need to write expanded form of the expression
`-(1)/(2)(y-x)`

For expansion we will use distributive property of multiplication over addition

`a(b+c)=ab+ac`

Applying above rule:

`-(1)/(2)(y-x)\\=-(1)/(2)(y)-(-(1)/(2)(x))\\=-(1)/(2)(y)+(1)/(2)(x)`

So, the expanded form of the expression
`-(1)/(2)(y-x)` is
`\mathbf{-(1)/(2)(y)+(1)/(2)(x)}`