Question

Write (4x − 5)2 in expanded form using the polynomial identity (x − y)2 = x2 − 2xy + y2.

Answer 1

For this case we have the following definition:

`(x - y) ^ 2 = x ^ 2 - 2xy + y ^ 2`
We use the definition for the given polynomial.
We have then:

`(4x - 5) ^ 2`
Rewriting:

`(4x - 5) ^ 2 = 16x ^ 2 - 40x + 25`
Answer:
The polynomial in its expanded form is given by:

`16x ^ 2 - 40x + 25`