Question

Multiply ( 3 x -5)(-x+4) applying The drifters tribute of property that expression becomes (3x )(- x )+( 3 x)( 4 )+( -5 )(-x)+(-5)(4) what is the simplified product in standard form?

Answer 1

For this case we must multiply the following expression:

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

We must apply distributive property, which by definition establishes that:
`(a + b) (c + d) = ac + ad + bc + bd`

`(3x-5) (- x + 4) = (3x) (- x) + (3x) (4) + (- 5) (- x) + (- 5) (4) = - 3x ^ 2 + 12x + 5x-20 = -3x ^ 2 + 17x-20`

Answer:

`-3x ^ 2 + 17x-20`