Question

Which of the following is not a polynomial identity?

O A. a? (b+c) = a(®+c)
a
O
O B. (22+3)(c + dla) = (ac-bet)* + (ad + bc)
+
O C. 22 - B° = (a - b)(a2 + ab + b)
OD. (a+b)2 = 22 + 2ab+ b2
=

Answer 1

A

Explanation:

If we start from top to bottom all we have to do is check which ones are not equal.

The first one is

`a^2(b+c) = a^3((b)/(a)+c)`
If we multiply is out we get

`a^2b+a^2c = a^3*(b)/(a)+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c`

That is NOT equal to the other. Making the answer A.