Question

use the distributive property to write an expression that is equivalent to each given expression. 1. -3(2x-4) 2. 0.1(-90+50a) 3. -7(+50a) 4. 4/5(10y+-x+-15)

Answer 1

We need to apply distributive property on each of the given expressions to write their equivalent expressions.

(1)
`-3(2x-4)`

Upon using distributive property, we get:

`(-3)(2x)+(-3)(-4)\\ -6x+12`

(2)
`0.1(-90+50a)`

Upon using distributive property, we get:

`-9+5a`

(3)
`-7(+50a)`

This part is incomplete.

(4)
`(4)/(5)(10y+-x+-15)`

Upon using distributive property, we get:

`(4)/(5)(10y)+(4)/(5)(-x)+(4)/(5)(-15)\\ 8y-(4x)/(5)-12`