Respuesta :

Answer:

2x^2 - 18x + 28

Step-by-step explanation:

(x - 7)(2x - 4) =

= (x - 7)(2x) - (x - 7)(4)

= 2x^2 - 14x - 4x + 28

= 2x^2 - 18x + 28

Using distributive property, the expression will be 2x^2 - 18x + 28.

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers.

Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c).

The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Given expression;

(x - 7)(2x - 4)

Perform the distribution:

= (x - 7)(2x) - (x - 7)(4)

= 2x^2 - 14x - 4x + 28

= 2x^2 - 18x + 28

Hence, Using distributive property, the expression will be 2x^2 - 18x + 28.

Learn more about distribution here;

https://brainly.com/question/5637942

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