Question

Which of the following is not a polynomial identity?

A. a^2 - a^3 = (a - b)(a^2 + ab + b^2)
B. a^2 - b^2 = (a + b)(a - b)
C. (a^2 + b^2)(c^2 - d^2) = (ac-bd)^2 + (ad + bc)
D. (a + b)^2 = a^2 + 2ab + b^2

Answer 1

Option C is not a polynomial identity because it involves addition and multiplication of terms, while polynomial identities only involve addition, subtraction, and multiplication of terms.

Step-by-step explanation:

The correct answer is option C. (a^2 + b^2)(c^2 - d^2) = (ac-bd)^2 + (ad + bc).

This is not a polynomial identity because the right side of the equation involves both addition and multiplication of terms, while the left side only involves multiplication of terms.

In polynomial identities, both sides of the equation should be polynomials and the operations should only involve addition, subtraction, and multiplication of terms.