Question

What is the product?

2x(x – 4)

Answer 1

The product of
`2x(x- 4)=2x^2-8x`

Explanation:

Given : Expression
`2x(x-4)`

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive property
`a(b+c)=ab+ac`

Where a= 2x, b=x, c=-4

`2x(x- 4)=2x(x)+2x(-4)`

`2x(x-4)=2x^2-8x`

Therefore, The product of
`2x(x-4)=2x^2-8x`

Answer 2

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states:
`a (b + c) = ab + ac.`

So:

`2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x`

Thus, the product of
`2x (x - 4)` is:
`2x ^ 2-8x`

Answer:

The product of
`2x (x - 4)` is:
`2x ^ 2-8x`