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?

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

-3x^2 + 17x - 20

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

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