Question

Multiply: (3x – 5)(–x + 4) Applying the distributive property, the expression becomes (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4). What is the simplified product in standard form?

Answer 1

 (3x – 5)(–x + 4)
= (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4)
= -3x^2 + 12x + 5x - 20
= -3x^2 + 17x - 20 ......this is in standard form

Answer 2

By using the distributive property, we will see that the simplified product is:

-3x^2 + 17x - 20

How to distribute a product?

The distributive property says that:

A*(B + C) = A*B + A*C

Then, if we apply that to our product, we get:

(3x - 5)*(-x + 4)

(3x)*(-x)  -5*(-x) + (3x)*4 - 5*4

Simplifying that we get:

-3x^2 + 5x + 12x - 20

-3x^2 + 17x - 20

So the simplified product in standard form is just:

-3x^2 + 17x - 20

If you want to learn more about properties, you can read:

https://brainly.com/question/2475734