Question

X(2x + 4x^2 -5 -3x) , use distributive property to write an equivalent expression in standard form.

Answer 1

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

Explanation:

Let
`a,b,c,d\in \mathbb R`, then the distributive property states that:

`a(b+c+d+e)=ab+ac+ad+ae`

The given expression is
`x(2x+4x^2-5-3x)`

We apply the distributive property to get:

`2x*x+4x^2*x-5*x-3x*x)`

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

Combine like terms

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

Simplify:

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

Write in descending powers of x.

`4x^3-x^2-5x`....This is the standard form