👤

how can we find the difference of given polynomials​

Sagot :

Answer:

Difference of two squares factors in this way: a2 - b2 = (a + b)(a -b)

You can determine if it's a difference of two squares, by seeing if both terms are perfect squares, and can be written in the form a2 - b2. Michael already showed how to factor it.

eg. 4x2 - 25 can be written as (2x)2 - 52

now notice we have it in that form a2 - b2 where a = 2x and b = 5.

(2x)2 - 52 = (2x - 5)(2x+5)

Another example

9x2 - 16

This can be written as (3x)2 - 42

Now try factoring it with the difference of two squares.