Question

Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x to the second power + blank x + bank

Answer 1

Simplifying the given expression, we get -8
`x^(3)` - 5x - 5.

Step-by-step explanation:

To find the expression that is equivalent to the given expression:

-4
`x^(2)` × 2x - 5(1 + x), we need to simplify it by applying the order of operations (PEMDAS). First, we apply the distributive property, which gives us -4
`x^(2)` × 2x - 5 - 5x.

Next, we can combine like terms, which gives us -8
`x^(3)` - 5 - 5x. Finally, we rearrange the terms to put the exponent in descending order, which gives us -8
`x^(3)` - 5x - 5.

Answer 2

`-4x^2 -3x- 5`

Step-by-step explanation:

Given

`-4x` to the second power
`+ 2x - 5 (1 + x)`

Required

Determine an equivalent expression

To the second power means square.

So, the expression becomes:

`-4x^2 + 2x - 5 (1 + x)`

Open bracket

`-4x^2 + 2x - 5 - 5x`

Collect Like Terms

`-4x^2 + 2x - 5x- 5`

Simplify like terms

`-4x^2 -3x- 5`