Question

Select all the expressions that are equivalent to 5x + 30x - 15x

•5 (x + 6x - 3x)
•(5 + 30 - 15 ) x
•x (5 + 30 x - 15x)
•5x ( 1 + 6 - 3)
•5 (x + 30x - 15x)

Answer 1

A,B and D are equivalent to
`5x + 30x - 15x`

Explanation:

Given expression :
`5x + 30x - 15x`

We are supposed to Select all the expressions that are equivalent

A)
`5 (x + 6x - 3x)`

`\Rightarrow 5x+30x-15x`

It is equivalent to given expression

B)
`(5 + 30 - 15 ) x`

`\Rightarrow 5x+30x-15x`

It is equivalent to given expression

C)
`x (5 + 30 x - 15x)`

`\Rightarrow 5x+30x^2-15x^2`

It is not equivalent to given expression

D)
`5x ( 1 + 6 - 3)`

`\Rightarrow 5x+30x-15x`

It is equivalent to given expression

E)
`5 (x + 30x - 15x)`

`\Rightarrow 5x+150x-75x`

It is not equivalent to given expression