Which polynomial is NOT equivalent to (5x – 2)(-2x + 4)?

To determine which polynomial is NOT equivalent to (5x – 2)(-2x + 4), we first need to expand the expression.

1. Expand (5x – 2)(-2x + 4):

– Multiply the first terms: ( 5x times -2x = -10x^2 )

– Multiply the outer terms: ( 5x times 4 = 20x )

– Multiply the inner terms: ( -2 times -2x = 4x )

– Multiply the last terms: ( -2 times 4 = -8 )

Now, combine all the terms:

[

-10x^2 + 20x + 4x – 8 = -10x^2 + 24x – 8

]

So, (5x – 2)(-2x + 4) simplifies to:

[

-10x^2 + 24x – 8

]

Next, let’s analyze the given options:
1. Option 1: (-10x + 20x + 4x – 8) simplifies to (14x – 8).
2. Option 2: (4x + 20x – 10x^2 – 8) is equivalent to (-10x^2 + 24x – 8).
3.