Unit 3, Lesson 9
Polynomial Identities (Part 2)
Algebra 2
Practice
Problem 1
Is \(a^6 + b^6 = (a^2+b^2)(a^4 - a^2b^2 + b^4)\) an identity? Explain or show your reasoning.
Problem 2
Match each lettered expression with the number of an expression equivalent to it.
\(\frac{1}{a} + \frac{1}{a+1}\)
\(\frac{a+1}{a-1} + \frac{a+1}{a}\)
\(\frac{1}{a} + \frac{2}{a+1}\)
\(\frac{a}{a-1} - \frac{1}{a+1}\)
\(\frac{a}{a+1} + \frac{a}{a-1}\)
\(\frac{2a^2}{a^2-1}\)
\(\frac{3a+1}{a^2+a}\)
\(\frac{2a+1}{a^2+a}\)