Question

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

Answer 1

Answer:

$4x^3-x^2-5x$

Step-by-step 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